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312213120102 = 232131334244103
BaseRepresentation
bin1001000101100010101…
…10100010010001100110
31002211212200001210220200
410202301112202101212
520103403024320402
6355232334411330
731361634506442
oct4426126422146
91084780053820
10312213120102
11110455192194
1250613660b46
13235981924b0
141117b199822
1581c49cb21c
hex48b15a2466

312213120102 has 24 divisors (see below), whose sum is σ = 728497280784. Its totient is φ = 96065575344.

The previous prime is 312213120091. The next prime is 312213120113. The reversal of 312213120102 is 201021312213.

312213120102 is a `hidden beast` number, since 31 + 221 + 312 + 0 + 102 = 666.

It is an interprime number because it is at equal distance from previous prime (312213120091) and next prime (312213120113).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 667121818 + ... + 667122285.

It is an arithmetic number, because the mean of its divisors is an integer number (30354053366).

Almost surely, 2312213120102 is an apocalyptic number.

312213120102 is an abundant number, since it is smaller than the sum of its proper divisors (416284160682).

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

312213120102 is a wasteful number, since it uses less digits than its factorization.

312213120102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334244124 (or 1334244121 counting only the distinct ones).

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

Adding to 312213120102 its reverse (201021312213), we get a palindrome (513234432315).

The spelling of 312213120102 in words is "three hundred twelve billion, two hundred thirteen million, one hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1334244103 2668488206 4002732309 8005464618 12008196927 17345173339 24016393854 34690346678 52035520017 104071040034 156106560051 312213120102