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31312101130112 = 271146619477031
BaseRepresentation
bin1110001111010011010101…
…01010100011111110000000
311002212102000011110022111102
413013221222222203332000
513101004140342130422
6150332325232033532
76411140025104405
oct707515252437600
9132772004408442
1031312101130112
119a82429868420
1236185b33928a8
1314619456191ba
147a3729b5a2ac
15394776299192
hex1c7a6aaa3f80

31312101130112 has 64 divisors (see below), whose sum is σ = 68052049430400. Its totient is φ = 14232438105600.

The previous prime is 31312101130043. The next prime is 31312101130139. The reversal of 31312101130112 is 21103110121313.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×313121011301122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65401037 + ... + 65878067.

It is an arithmetic number, because the mean of its divisors is an integer number (1063313272350).

Almost surely, 231312101130112 is an apocalyptic number.

31312101130112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31312101130112 is an abundant number, since it is smaller than the sum of its proper divisors (36739948300288).

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

31312101130112 is a wasteful number, since it uses less digits than its factorization.

31312101130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523675 (or 523663 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 31312101130112 its reverse (21103110121313), we get a palindrome (52415211251425).

The spelling of 31312101130112 in words is "thirty-one trillion, three hundred twelve billion, one hundred one million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 46619 93238 186476 372952 477031 512809 745904 954062 1025618 1491808 1908124 2051236 2983616 3816248 4102472 5247341 5967232 7632496 8204944 10494682 15264992 16409888 20989364 30529984 32819776 41978728 61059968 65639552 83957456 167914912 335829824 671659648 22238708189 44477416378 88954832756 177909665512 244625790079 355819331024 489251580158 711638662048 978503160316 1423277324096 1957006320632 2846554648192 3914012641264 7828025282528 15656050565056 31312101130112