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121301323332030 = 23451954114568997
BaseRepresentation
bin11011100101001010101010…
…010010011011100110111110
3120220111021220210012201110000
4123211022222102123212332
5111344400102233111110
61105553020400055130
734356505605043452
oct3345125222334676
9526437823181400
10121301323332030
113571766977a336
12117310139044a6
13528b88673acca
1421d5030290662
15e054d48291c0
hex6e52aa49b9be

121301323332030 has 160 divisors (see below), whose sum is σ = 343967049660960. Its totient is φ = 30587898481920.

The previous prime is 121301323332001. The next prime is 121301323332043. The reversal of 121301323332030 is 30233323103121.

121301323332030 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 0 + 1 + 323 + 332 + 0 + 3 + 0 = 666.

It is a super-2 number, since 2×1213013233320302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 121301323331985 and 121301323332003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1041492 + ... + 15610488.

It is an arithmetic number, because the mean of its divisors is an integer number (2149794060381).

Almost surely, 2121301323332030 is an apocalyptic number.

121301323332030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121301323332030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171983524830480).

121301323332030 is an abundant number, since it is smaller than the sum of its proper divisors (222665726328930).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121301323332030 is a wasteful number, since it uses less digits than its factorization.

121301323332030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14569576 (or 14569567 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 121301323332030 its reverse (30233323103121), we get a palindrome (151534646435151).

The spelling of 121301323332030 in words is "one hundred twenty-one trillion, three hundred one billion, three hundred twenty-three million, three hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 541 570 810 855 1026 1082 1539 1623 1710 2565 2705 3078 3246 4869 5130 5410 7695 8115 9738 10279 14607 15390 16230 20558 24345 29214 30837 43821 48690 51395 61674 73035 87642 92511 102790 146070 154185 185022 219105 277533 308370 438210 462555 555066 832599 925110 1387665 1665198 2775330 4162995 8325990 14568997 29137994 43706991 72844985 87413982 131120973 145689970 218534955 262241946 276810943 393362919 437069910 553621886 655604865 786725838 830432829 1180088757 1311209730 1384054715 1660865658 1966814595 2360177514 2491298487 2768109430 3933629190 4152164145 4982596974 5900443785 7473895461 7881827377 8304328290 11800887570 12456492435 14947790922 15763654754 22421686383 23645482131 24912984870 37369477305 39409136885 44843372766 47290964262 70936446393 74738954610 78818273770 112108431915 118227410655 141872892786 149754720163 212809339179 224216863830 236454821310 299509440326 354682231965 425618678358 449264160489 638428017537 709364463930 748773600815 898528320978 1064046695895 1276856035074 1347792481467 1497547201630 2128093391790 2246320802445 2695584962934 3192140087685 4043377444401 4492641604890 6384280175370 6738962407335 8086754888802 12130132333203 13477924814670 20216887222005 24260264666406 40433774444010 60650661666015 121301323332030