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2312430342132 = 2234127117343401
BaseRepresentation
bin100001101001100111100…
…101101100111111110100
322012001210020122200111010
4201221213211230333310
5300341324131422012
64530152115312220
7326032115411061
oct41514745547764
98161706580433
102312430342132
11811772709109
123141b82ab670
1313a0a47309c1
147dcca831c68
1540241ab5c3c
hex21a6796cff4

2312430342132 has 48 divisors (see below), whose sum is σ = 5547668684544. Its totient is φ = 749234880000.

The previous prime is 2312430342127. The next prime is 2312430342149.

It is a happy number.

2312430342132 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2312430342132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8538369 + ... + 8805032.

It is an arithmetic number, because the mean of its divisors is an integer number (115576430928).

Almost surely, 22312430342132 is an apocalyptic number.

It is an amenable number.

2312430342132 is an abundant number, since it is smaller than the sum of its proper divisors (3235238342412).

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

2312430342132 is a wasteful number, since it uses less digits than its factorization.

2312430342132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17343720 (or 17343718 counting only the distinct ones).

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

It can be divided in two parts, 2312430 and 342132, that added together give a palindrome (2654562).

The spelling of 2312430342132 in words is "two trillion, three hundred twelve billion, four hundred thirty million, three hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 271 492 542 813 1084 1626 3252 11111 22222 33333 44444 66666 133332 17343401 34686802 52030203 69373604 104060406 208120812 711079441 1422158882 2133238323 2844317764 4266476646 4700061671 8532953292 9400123342 14100185013 18800246684 28200370026 56400740052 192702528511 385405057022 578107585533 770810114044 1156215171066 2312430342132