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103231374167504 = 241123115427111497
BaseRepresentation
bin10111011110001101101101…
…011000110000110111010000
3111112111211012221220100001002
4113132031231120300313100
5102012320323241330004
61003315501045401132
730513135454314422
oct2736155530606720
9445454187810032
10103231374167504
112a9901a8532500
12b6b2b224091a8
13457a8a4c6276b
141b6c5d4940812
15be0441a5261e
hex5de36d630dd0

103231374167504 has 120 divisors (see below), whose sum is σ = 226955138774784. Its totient is φ = 45406344614400.

The previous prime is 103231374167459. The next prime is 103231374167507. The reversal of 103231374167504 is 405761473132301.

It is a super-2 number, since 2×1032313741675042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103231374167507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 925811084 + ... + 925922580.

Almost surely, 2103231374167504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103231374167504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113477569387392).

103231374167504 is an abundant number, since it is smaller than the sum of its proper divisors (123723764607280).

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

103231374167504 is a wasteful number, since it uses less digits than its factorization.

103231374167504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126985 (or 126968 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 47.

The spelling of 103231374167504 in words is "one hundred three trillion, two hundred thirty-one billion, three hundred seventy-four million, one hundred sixty-seven thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 121 124 176 242 248 341 484 496 682 968 1364 1936 2728 3751 5456 7502 15004 15427 30008 30854 60016 61708 111497 123416 169697 222994 246832 339394 445988 478237 678788 891976 956474 1226467 1357576 1783952 1866667 1912948 2452934 2715152 3456407 3733334 3825896 4905868 5260607 6912814 7466668 7651792 9811736 10521214 13491137 13825628 14933336 19623472 21042428 26982274 27651256 29866672 38020477 42084856 53964548 55302512 57866677 76040954 84169712 107929096 115733354 152081908 215858192 231466708 304163816 418225247 462933416 608327632 836450494 925866832 1672900988 1720064219 3345801976 3440128438 6691603952 6880256876 13760513752 18920706409 27521027504 37841412818 53321990789 75682825636 106643981578 151365651272 208127770499 213287963156 302731302544 416255540998 426575926312 586541898679 832511081996 853151852624 1173083797358 1665022163992 2346167594716 3330044327984 4692335189432 6451960885469 9384670378864 12903921770938 25807843541876 51615687083752 103231374167504