Base | Representation |
---|---|
bin | 1110001111100100100000… |
… | …11101100010101110000000 |
3 | 11002220021211000010220022000 |
4 | 13013302100131202232000 |
5 | 13101132033221422140 |
6 | 150340452415344000 |
7 | 6411614431223400 |
oct | 707622035425600 |
9 | 132807730126260 |
10 | 31321325185920 |
11 | 9a86332582040 |
12 | 361a348522000 |
13 | 1462785626ca3 |
14 | 7a3d62c16800 |
15 | 394b15e82a30 |
hex | 1c7c90762b80 |
31321325185920 has 1536 divisors, whose sum is σ = 140983490649600. Its totient is φ = 6498536325120.
The previous prime is 31321325185907. The next prime is 31321325185933. The reversal of 31321325185920 is 2958152312313.
31321325185920 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 1 + 3 + 2 + 51 + 8 + 592 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (31321325185907) and next prime (31321325185933).
It is a super-2 number, since 2×313213251859202 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7330052904 + ... + 7330057176.
It is an arithmetic number, because the mean of its divisors is an integer number (91786126725).
Almost surely, 231321325185920 is an apocalyptic number.
31321325185920 is a gapful number since it is divisible by the number (30) 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 31321325185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70491745324800).
31321325185920 is an abundant number, since it is smaller than the sum of its proper divisors (109662165463680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31321325185920 is a wasteful number, since it uses less digits than its factorization.
31321325185920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5113 (or 5088 counting only the distinct ones).
The product of its (nonzero) digits is 388800, while the sum is 45.
The spelling of 31321325185920 in words is "thirty-one trillion, three hundred twenty-one billion, three hundred twenty-five million, one hundred eighty-five thousand, nine hundred twenty".
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