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131201142010002 = 23360114712748253
BaseRepresentation
bin11101110101001110100101…
…011101101011000010010010
3122012112201002011121111222000
4131311032211131223002102
5114144044414323310002
61143012550023454430
736430653415266651
oct3565164535530222
9565481064544860
10131201142010002
1138894101292339
121286b7b0bb7416
1358292a363c24c
14245825223d198
151027c9966761c
hex7753a576b092

131201142010002 has 64 divisors (see below), whose sum is σ = 292241855109120. Its totient is φ = 43631248752000.

The previous prime is 131201142009991. The next prime is 131201142010093. The reversal of 131201142010002 is 200010241102131.

131201142010002 is a `hidden beast` number, since 1 + 31 + 201 + 1 + 420 + 10 + 0 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46365708 + ... + 49113960.

It is an arithmetic number, because the mean of its divisors is an integer number (4566278986080).

Almost surely, 2131201142010002 is an apocalyptic number.

131201142010002 is an abundant number, since it is smaller than the sum of its proper divisors (161040713099118).

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

131201142010002 is a wasteful number, since it uses less digits than its factorization.

131201142010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750336 (or 2750330 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 131201142010002 its reverse (200010241102131), we get a palindrome (331211383112133).

The spelling of 131201142010002 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred forty-two million, ten thousand, two".

Divisors: 1 2 3 6 9 18 27 54 601 1202 1471 1803 2942 3606 4413 5409 8826 10818 13239 16227 26478 32454 39717 79434 884071 1768142 2652213 2748253 5304426 5496506 7956639 8244759 15913278 16489518 23869917 24734277 47739834 49468554 74202831 148405662 1651700053 3303400106 4042680163 4955100159 8085360326 9910200318 12128040489 14865300477 24256080978 29730600954 36384121467 44595901431 72768242934 89191802862 109152364401 218304728802 2429650777963 4859301555926 7288952333889 14577904667778 21866857001667 43733714003334 65600571005001 131201142010002