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31109734968 = 23313219403687
BaseRepresentation
bin11100111110010010…
…001110001000111000
32222022002110021120020
4130332102032020320
51002203043004333
622142553330440
72150633245524
oct347622161070
988262407506
1031109734968
11122146a8374
126042706a20
132c1a273b00
14171199cd84
15c212843b3
hex73e48e238

31109734968 has 96 divisors (see below), whose sum is σ = 88649884800. Its totient is φ = 9068402304.

The previous prime is 31109734967. The next prime is 31109734973. The reversal of 31109734968 is 86943790113.

It is a super-2 number, since 2×311097349682 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31109734968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31109734963) by changing a digit.

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, 124780 + ... + 278907.

It is an arithmetic number, because the mean of its divisors is an integer number (923436300).

Almost surely, 231109734968 is an apocalyptic number.

31109734968 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

31109734968 is an abundant number, since it is smaller than the sum of its proper divisors (57540149832).

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

31109734968 is a wasteful number, since it uses less digits than its factorization.

31109734968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403741 (or 403724 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 31109734968 in words is "thirty-one billion, one hundred nine million, seven hundred thirty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 169 228 247 312 338 456 494 507 676 741 988 1014 1352 1482 1976 2028 2964 3211 4056 5928 6422 9633 12844 19266 25688 38532 77064 403687 807374 1211061 1614748 2422122 3229496 4844244 5247931 7670053 9688488 10495862 15340106 15743793 20991724 23010159 30680212 31487586 41983448 46020318 61360424 62975172 68223103 92040636 99710689 125950344 136446206 184081272 199421378 204669309 272892412 299132067 398842756 409338618 545784824 598264134 797685512 818677236 1196528268 1296238957 1637354472 2393056536 2592477914 3888716871 5184955828 7777433742 10369911656 15554867484 31109734968