Base | Representation |
---|---|
bin | 10110111011110101… |
… | …10111100011001010 |
3 | 1011210010022212121200 |
4 | 23131322313203022 |
5 | 200204130144320 |
6 | 5353453045030 |
7 | 614062613502 |
oct | 133572674312 |
9 | 34703285550 |
10 | 12313131210 |
11 | 52494947a6 |
12 | 2477786776 |
13 | 1212cac473 |
14 | 84b44ca02 |
15 | 4c0ec5290 |
hex | 2ddeb78ca |
12313131210 has 96 divisors (see below), whose sum is σ = 33418945872. Its totient is φ = 3142333440.
The previous prime is 12313131179. The next prime is 12313131217. The reversal of 12313131210 is 1213131321.
12313131210 is a `hidden beast` number, since 1 + 231 + 313 + 121 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 1716693489 + 10596437721 = 41433^2 + 102939^2 .
It is a super-4 number, since 4×123131312104 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (12313131217) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172822 + ... + 233438.
Almost surely, 212313131210 is an apocalyptic number.
12313131210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 12313131210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16709472936).
12313131210 is an abundant number, since it is smaller than the sum of its proper divisors (21105814662).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12313131210 is a wasteful number, since it uses less digits than its factorization.
12313131210 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 60728 (or 60725 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
Adding to 12313131210 its reverse (1213131321), we get a palindrome (13526262531).
The spelling of 12313131210 in words is "twelve billion, three hundred thirteen million, one hundred thirty-one thousand, two hundred ten".
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