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131442133131 = 334868227153
BaseRepresentation
bin111101001101010001…
…1111100100010001011
3110120021102120012101000
41322122203330202023
54123143141230011
6140214513030043
712332154461061
oct1723243744213
9416242505330
10131442133131
11508207260a1
1221583855323
13c5198b5a4a
14650cc28031
15364477c356
hex1e9a8fc88b

131442133131 has 8 divisors (see below), whose sum is σ = 194729086160. Its totient is φ = 87628088736.

The previous prime is 131442133127. The next prime is 131442133139. The reversal of 131442133131 is 131331244131.

131442133131 is a `hidden beast` number, since 1 + 314 + 4 + 213 + 3 + 131 = 666.

It is not a de Polignac number, because 131442133131 - 22 = 131442133127 is a prime.

It is a super-2 number, since 2×1314421331312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4868227153 = 131442133131 / (1 + 3 + 1 + 4 + 4 + 2 + 1 + 3 + 3 + 1 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131442133095 and 131442133104.

It is not an unprimeable number, because it can be changed into a prime (131442133139) 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, 2434113550 + ... + 2434113603.

It is an arithmetic number, because the mean of its divisors is an integer number (24341135770).

Almost surely, 2131442133131 is an apocalyptic number.

131442133131 is a deficient number, since it is larger than the sum of its proper divisors (63286953029).

131442133131 is an equidigital number, since it uses as much as digits as its factorization.

131442133131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4868227162 (or 4868227156 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 131442133131 its reverse (131331244131), we get a palindrome (262773377262).

The spelling of 131442133131 in words is "one hundred thirty-one billion, four hundred forty-two million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 27 4868227153 14604681459 43814044377 131442133131