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31312101024 = 2532109799109
BaseRepresentation
bin11101001010010110…
…001011111010100000
32222211012020112121100
4131022112023322200
51003111344213044
622215022554400
72155641316161
oct351226137240
988735215540
1031312101024
1112308956a46
12609a438a00
132c50179039
1417307d9768
15c33e09869
hex74a58bea0

31312101024 has 72 divisors (see below), whose sum is σ = 89125856820. Its totient is φ = 10427747328.

The previous prime is 31312101019. The next prime is 31312101047. The reversal of 31312101024 is 42010121313.

It can be written as a sum of positive squares in 2 ways, for example, as 31282289424 + 29811600 = 176868^2 + 5460^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 31312100988 and 31312101006.

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 11 ways as a sum of consecutive naturals, for example, 266382 + ... + 365490.

Almost surely, 231312101024 is an apocalyptic number.

It is an amenable number.

31312101024 is an abundant number, since it is smaller than the sum of its proper divisors (57813755796).

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

31312101024 is a wasteful number, since it uses less digits than its factorization.

31312101024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100222 (or 100211 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31312101024 its reverse (42010121313), we get a palindrome (73322222337).

The spelling of 31312101024 in words is "thirty-one billion, three hundred twelve million, one hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1097 2194 3291 4388 6582 8776 9873 13164 17552 19746 26328 35104 39492 52656 78984 99109 105312 157968 198218 297327 315936 396436 594654 792872 891981 1189308 1585744 1783962 2378616 3171488 3567924 4757232 7135848 9514464 14271696 28543392 108722573 217445146 326167719 434890292 652335438 869780584 978503157 1304670876 1739561168 1957006314 2609341752 3479122336 3914012628 5218683504 7828025256 10437367008 15656050512 31312101024