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131012200120431 = 376238676196211
BaseRepresentation
bin11101110010011110100111…
…101001100100000001101111
3122011212122101111010001020010
4131302132213221210001233
5114133000441212323211
61142350101315224303
736411214310602650
oct3562364751440157
9564778344101203
10131012200120431
1138820a6453a183
121283b0608a8093
1358145222b25a6
14244d04aa37527
151022ddbe104a6
hex7727a7a6406f

131012200120431 has 8 divisors (see below), whose sum is σ = 199637638278784. Its totient is φ = 74864114354520.

The previous prime is 131012200120339. The next prime is 131012200120447. The reversal of 131012200120431 is 134021002210131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 131012200120431 - 221 = 131012198023279 is a prime.

It is a super-2 number, since 2×1310122001204312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 6238676196211 = 131012200120431 / (1 + 3 + 1 + 0 + 1 + 2 + 2 + 0 + 0 + 1 + 2 + 0 + 4 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131012200120398 and 131012200120407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012200120831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3119338098085 + ... + 3119338098126.

It is an arithmetic number, because the mean of its divisors is an integer number (24954704784848).

Almost surely, 2131012200120431 is an apocalyptic number.

131012200120431 is a deficient number, since it is larger than the sum of its proper divisors (68625438158353).

131012200120431 is an equidigital number, since it uses as much as digits as its factorization.

131012200120431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6238676196221.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 131012200120431 its reverse (134021002210131), we get a palindrome (265033202330562).

The spelling of 131012200120431 in words is "one hundred thirty-one trillion, twelve billion, two hundred million, one hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 7 21 6238676196211 18716028588633 43670733373477 131012200120431