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13102310232 = 233211149111029
BaseRepresentation
bin11000011001111010…
…10110001101011000
31020211010022022201100
430030331112031120
5203313142411412
610004043551400
7642454541124
oct141475261530
936733268640
1013102310232
115613a04670
122657b2b560
13130a643bbb
148c419c584
1551a410edc
hex30cf56358

13102310232 has 96 divisors (see below), whose sum is σ = 38971530000. Its totient is φ = 3943714560.

The previous prime is 13102310213. The next prime is 13102310257. The reversal of 13102310232 is 23201320131.

13102310232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62494 + ... + 173522.

Almost surely, 213102310232 is an apocalyptic number.

13102310232 is a gapful number since it is divisible by the number (12) 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 13102310232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19485765000).

13102310232 is an abundant number, since it is smaller than the sum of its proper divisors (25869219768).

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

13102310232 is a wasteful number, since it uses less digits than its factorization.

13102310232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111201 (or 111194 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13102310232 its reverse (23201320131), we get a palindrome (36303630363).

The spelling of 13102310232 in words is "thirteen billion, one hundred two million, three hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 149 198 264 298 396 447 596 792 894 1192 1341 1639 1788 2682 3278 3576 4917 5364 6556 9834 10728 13112 14751 19668 29502 39336 59004 111029 118008 222058 333087 444116 666174 888232 999261 1221319 1332348 1998522 2442638 2664696 3663957 3997044 4885276 7327914 7994088 9770552 10991871 14655828 16543321 21983742 29311656 33086642 43967484 49629963 66173284 87934968 99259926 132346568 148889889 181976531 198519852 297779778 363953062 397039704 545929593 595559556 727906124 1091859186 1191119112 1455812248 1637788779 2183718372 3275577558 4367436744 6551155116 13102310232