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131012143414002 = 23319686318605879
BaseRepresentation
bin11101110010011110100100…
…010001001111101011110010
3122011212122020112102001122000
4131302132210101033223302
5114133000332203222002
61142350051531554430
736411213021604044
oct3562364421175362
9564778215361560
10131012143414002
1138820a35528864
121283b0458bba16
1358145136197a6
14244d0432b5a94
151022dd6e5d61c
hex7727a444faf2

131012143414002 has 64 divisors (see below), whose sum is σ = 306505824768000. Its totient is φ = 41366225286864.

The previous prime is 131012143414001. The next prime is 131012143414049. The reversal of 131012143414002 is 200414341210131.

It is a happy number.

131012143414002 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 1 + 214 + 3 + 41 + 400 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131012143414001) 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, 2261502 + ... + 16344377.

It is an arithmetic number, because the mean of its divisors is an integer number (4789153512000).

Almost surely, 2131012143414002 is an apocalyptic number.

131012143414002 is an abundant number, since it is smaller than the sum of its proper divisors (175493681353998).

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

131012143414002 is a wasteful number, since it uses less digits than its factorization.

131012143414002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18612772 (or 18612766 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131012143414002 its reverse (200414341210131), we get a palindrome (331426484624133).

The spelling of 131012143414002 in words is "one hundred thirty-one trillion, twelve billion, one hundred forty-three million, four hundred fourteen thousand, two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 6863 13726 20589 41178 61767 123534 130397 185301 260794 370602 391191 782382 1173573 2347146 3520719 7041438 18605879 37211758 55817637 111635274 167452911 334905822 353511701 502358733 707023402 1004717466 1060535103 2121070206 3181605309 6363210618 9544815927 19089631854 127692147577 255384295154 383076442731 766152885462 1149229328193 2298458656386 2426150803963 3447687984579 4852301607926 6895375969158 7278452411889 14556904823778 21835357235667 43670714471334 65506071707001 131012143414002