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131011142020002 = 2327278396778889
BaseRepresentation
bin11101110010011101101000…
…100101001110101110100010
3122011212112122202002222022100
4131302131220211032232202
5114132441304324120002
61142345404320351230
736411146142106026
oct3562355045165642
9564775582088270
10131011142020002
1138820571242712
121283aa06475516
1358143b4011c6a
14244cd8a2c4386
151022d790a411c
hex77276894eba2

131011142020002 has 12 divisors (see below), whose sum is σ = 283857474376710. Its totient is φ = 43670380673328.

The previous prime is 131011142019959. The next prime is 131011142020051. The reversal of 131011142020002 is 200020241110131.

131011142020002 is a `hidden beast` number, since 1 + 31 + 0 + 1 + 11 + 420 + 200 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 116478509535441 + 14532632484561 = 10792521^2 + 3812169^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 7278396778889 = 131011142020002 / (1 + 3 + 1 + 0 + 1 + 1 + 1 + 4 + 2 + 0 + 2 + 0 + 0 + 0 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3639198389427 + ... + 3639198389462.

Almost surely, 2131011142020002 is an apocalyptic number.

131011142020002 is an abundant number, since it is smaller than the sum of its proper divisors (152846332356708).

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

131011142020002 is a wasteful number, since it uses less digits than its factorization.

131011142020002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7278396778897 (or 7278396778894 counting only the distinct ones).

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

Adding to 131011142020002 its reverse (200020241110131), we get a palindrome (331031383130133).

The spelling of 131011142020002 in words is "one hundred thirty-one trillion, eleven billion, one hundred forty-two million, twenty thousand, two".

Divisors: 1 2 3 6 9 18 7278396778889 14556793557778 21835190336667 43670380673334 65505571010001 131011142020002