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101233203030 = 23452314936469
BaseRepresentation
bin101111001000111111…
…0000001011101010110
3100200022010010112210000
41132101332001131112
53124311144444110
6114301134512130
710212440012421
oct1362176013526
9320263115700
10101233203030
1139a2955a863
1217752965646
13971415aa8b
144c84b549b8
1529776331c0
hex1791f81756

101233203030 has 160 divisors (see below), whose sum is σ = 285953976000. Its totient is φ = 25647798528.

The previous prime is 101233203017. The next prime is 101233203109. The reversal of 101233203030 is 30302332101.

It is a super-2 number, since 2×1012332030302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101233202994 and 101233203012.

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, 2757636 + ... + 2794104.

It is an arithmetic number, because the mean of its divisors is an integer number (1787212350).

Almost surely, 2101233203030 is an apocalyptic number.

101233203030 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 101233203030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142976988000).

101233203030 is an abundant number, since it is smaller than the sum of its proper divisors (184720772970).

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

101233203030 is a wasteful number, since it uses less digits than its factorization.

101233203030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36660 (or 36651 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 101233203030 its reverse (30302332101), we get a palindrome (131535535131).

The spelling of 101233203030 in words is "one hundred one billion, two hundred thirty-three million, two hundred three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 149 162 207 230 270 298 345 405 414 447 621 690 745 810 894 1035 1242 1341 1490 1863 2070 2235 2682 3105 3427 3726 4023 4470 6210 6705 6854 8046 9315 10281 12069 13410 17135 18630 20115 20562 24138 30843 34270 36469 40230 51405 60345 61686 72938 92529 102810 109407 120690 154215 182345 185058 218814 277587 308430 328221 364690 462645 547035 555174 656442 838787 925290 984663 1094070 1387935 1641105 1677574 1969326 2516361 2775870 2953989 3282210 4193935 4923315 5032722 5433881 5907978 7549083 8387870 9846630 10867762 12581805 14769945 15098166 16301643 22647249 25163610 27169405 29539890 32603286 37745415 45294498 48904929 54338810 67941747 75490830 81508215 97809858 113236245 124979263 135883494 146714787 163016430 226472490 244524645 249958526 293429574 339708735 374937789 440144361 489049290 624896315 679417470 733573935 749875578 880288722 1124813367 1249792630 1467147870 1874688945 2200721805 2249626734 3374440101 3749377890 4401443610 5624066835 6748880202 10123320303 11248133670 16872200505 20246640606 33744401010 50616601515 101233203030