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103031448147252 = 223253142943498689
BaseRepresentation
bin10111011011010011100000…
…110111100001010100110100
3111111210201011202211012200100
4113123103200313201110310
5102001031401211203002
61003043554401114100
730462530222221002
oct2733234067412464
9444721152735610
10103031448147252
112a913434500399
12b680227628930
134564a930766b1
141b62a6a5d9a72
15bda13ed4311c
hex5db4e0de1534

103031448147252 has 144 divisors (see below), whose sum is σ = 265631896530000. Its totient is φ = 33660622614528.

The previous prime is 103031448147247. The next prime is 103031448147289. The reversal of 103031448147252 is 252741844130301.

103031448147252 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 314 + 4 + 81 + 4 + 7 + 252 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5515151646096 + 97516296501156 = 2348436^2 + 9875034^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103031448147198 and 103031448147207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11857683324 + ... + 11857692012.

It is an arithmetic number, because the mean of its divisors is an integer number (1844665948125).

Almost surely, 2103031448147252 is an apocalyptic number.

103031448147252 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 103031448147252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132815948265000).

103031448147252 is an abundant number, since it is smaller than the sum of its proper divisors (162600448382748).

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

103031448147252 is a wasteful number, since it uses less digits than its factorization.

103031448147252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14530 (or 14525 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 103031448147252 in words is "one hundred three trillion, thirty-one billion, four hundred forty-eight million, one hundred forty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1429 1908 2858 4287 4349 5716 8574 8689 8698 12861 13047 17148 17378 17396 25722 26067 26094 34756 39141 51444 52134 52188 75737 78201 78282 104268 151474 156402 156564 227211 230497 302948 312804 454422 460517 460994 681633 691491 908844 921034 921988 1363266 1381551 1382982 1842068 2074473 2726532 2763102 2765964 4144653 4148946 5526204 6214721 8289306 8297892 12416581 12429442 16578612 18644163 24833162 24858884 37249743 37288326 37788461 49666324 55932489 74499486 74576652 75576922 111749229 111864978 113365383 148998972 151153844 223498458 223729956 226730766 329380213 340096149 446996916 453461532 658078793 658760426 680192298 988140639 1316157586 1317520852 1360384596 1974236379 1976281278 2002788433 2632315172 2964421917 3948472758 3952562556 4005576866 5922709137 5928843834 6008365299 7896945516 8011153732 11845418274 11857687668 12016730598 18025095897 23690836548 24033461196 36050191794 53999710769 72100383588 107999421538 161999132307 215998843076 323998264614 485997396921 647996529228 971994793842 1943989587684 2861984670757 5723969341514 8585954012271 11447938683028 17171908024542 25757862036813 34343816049084 51515724073626 103031448147252