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12230030100 = 22352319911327
BaseRepresentation
bin10110110001111011…
…10111001100010100
31011120022221220022210
423120331313030110
5200021341430400
65341323553420
7612033353301
oct133075671424
934508856283
1012230030100
1152065956a2
12245398b870
1311cba04702
148403ba0a8
154b8a5c950
hex2d8f77314

12230030100 has 144 divisors (see below), whose sum is σ = 36591435776. Its totient is φ = 3150576000.

The previous prime is 12230030089. The next prime is 12230030119. The reversal of 12230030100 is 103003221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9215637 + ... + 9216963.

Almost surely, 212230030100 is an apocalyptic number.

12230030100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12230030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18295717888).

12230030100 is an abundant number, since it is smaller than the sum of its proper divisors (24361405676).

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

12230030100 is a wasteful number, since it uses less digits than its factorization.

12230030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12230030100 its reverse (103003221), we get a palindrome (12333033321).

The spelling of 12230030100 in words is "twelve billion, two hundred thirty million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 991 1327 1550 1860 1982 2325 2654 2973 3100 3964 3981 4650 4955 5308 5946 6635 7962 9300 9910 11892 13270 14865 15924 19820 19905 24775 26540 29730 30721 33175 39810 41137 49550 59460 61442 66350 74325 79620 82274 92163 99100 99525 122884 123411 132700 148650 153605 164548 184326 199050 205685 246822 297300 307210 368652 398100 411370 460815 493644 614420 617055 768025 822740 921630 1028425 1234110 1315057 1536050 1843260 2056850 2304075 2468220 2630114 3072100 3085275 3945171 4113700 4608150 5260228 6170550 6575285 7890342 9216300 12341100 13150570 15780684 19725855 26301140 32876425 39451710 40766767 65752850 78903420 81533534 98629275 122300301 131505700 163067068 197258550 203833835 244600602 394517100 407667670 489201204 611501505 815335340 1019169175 1223003010 2038338350 2446006020 3057507525 4076676700 6115015050 12230030100