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131257422431 = 316247677783
BaseRepresentation
bin111101000111110001…
…1010101001001011111
3110112210112222220220222
41322033203111021133
54122303400004211
6140144314031555
712324452452652
oct1721743251137
9415715886828
10131257422431
1150736436223
1221531a185bb
13c4ba552985
1464d24a5899
1536334431db
hex1e8f8d525f

131257422431 has 8 divisors (see below), whose sum is σ = 135513421824. Its totient is φ = 127002791160.

The previous prime is 131257422409. The next prime is 131257422437. The reversal of 131257422431 is 134224752131.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 131257422431 - 214 = 131257406047 is a prime.

It is a super-2 number, since 2×1312574224312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131257422391 and 131257422400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131257422437) 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, 145235 + ... + 532548.

It is an arithmetic number, because the mean of its divisors is an integer number (16939177728).

Almost surely, 2131257422431 is an apocalyptic number.

131257422431 is a deficient number, since it is larger than the sum of its proper divisors (4255999393).

131257422431 is an equidigital number, since it uses as much as digits as its factorization.

131257422431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684061.

The product of its digits is 40320, while the sum is 35.

The spelling of 131257422431 in words is "one hundred thirty-one billion, two hundred fifty-seven million, four hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 31 6247 193657 677783 21011273 4234110401 131257422431