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10231312122 = 23329322207
BaseRepresentation
bin10011000011101010…
…10110111011111010
3222102001000111201000
421201311112323322
5131423203441442
64411124305430
7511353501213
oct114165267372
928361014630
1010231312122
114380344259
121b96542276
13c708b8a55
146d0b7640a
153ed34ed4c
hex261d56efa

10231312122 has 48 divisors (see below), whose sum is σ = 22824449280. Its totient is φ = 3397257648.

The previous prime is 10231312103. The next prime is 10231312123. The reversal of 10231312122 is 22121313201.

10231312122 is a `hidden beast` number, since 1 + 0 + 231 + 312 + 122 = 666.

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 = 10231312095 and 10231312104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10231312123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4634743 + ... + 4636949.

It is an arithmetic number, because the mean of its divisors is an integer number (475509360).

Almost surely, 210231312122 is an apocalyptic number.

10231312122 is an abundant number, since it is smaller than the sum of its proper divisors (12593137158).

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

10231312122 is an equidigital number, since it uses as much as digits as its factorization.

10231312122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804 (or 2505 counting only the distinct ones).

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

Adding to 10231312122 its reverse (22121313201), we get a palindrome (32352625323).

The spelling of 10231312122 in words is "ten billion, two hundred thirty-one million, three hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 293 586 879 1758 2207 2637 4414 5274 6621 7911 13242 15822 19863 39726 59589 85849 119178 171698 257547 515094 646651 772641 1293302 1545282 1939953 2317923 3879906 4635846 5819859 11639718 17459577 34919154 189468743 378937486 568406229 1136812458 1705218687 3410437374 5115656061 10231312122