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312324423213 = 31129909135899
BaseRepresentation
bin1001000101101111111…
…11000111111000101101
31002212011102111121002010
410202313333013320231
520104120023020323
6355251352151433
731364455536345
oct4426777077055
91085142447063
10312324423213
11110501aa3930
1250644998579
13235b5262a1a
141118bc8dd25
1581ce664c93
hex48b7fc7e2d

312324423213 has 32 divisors (see below), whose sum is σ = 470020032000. Its totient is φ = 182735179200.

The previous prime is 312324423211. The next prime is 312324423217.

It is a happy number.

312324423213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312324423213 - 21 = 312324423211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312324423211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8682138 + ... + 8718036.

It is an arithmetic number, because the mean of its divisors is an integer number (14688126000).

Almost surely, 2312324423213 is an apocalyptic number.

312324423213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312324423213 is a deficient number, since it is larger than the sum of its proper divisors (157695608787).

312324423213 is a wasteful number, since it uses less digits than its factorization.

312324423213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45033.

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 312324 and 423213, that added together give a palindrome (735537).

The spelling of 312324423213 in words is "three hundred twelve billion, three hundred twenty-four million, four hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 3 11 29 33 87 319 957 9091 27273 35899 100001 107697 263639 300003 394889 790917 1041071 1184667 2900029 3123213 8700087 11451781 34355343 326357809 979073427 3589935899 9464376461 10769807697 28393129383 104108141071 312324423213