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131442220429 = 1328135981993
BaseRepresentation
bin111101001101010010…
…0010001110110001101
3110120021102201122010021
41322122210101312031
54123143202023204
6140214514542141
712332155303432
oct1723244216615
9416242648107
10131442220429
1150820785743
1221583897951
13c5199166c0
14650cc4bb89
153644798154
hex1e9a911d8d

131442220429 has 8 divisors (see below), whose sum is σ = 142056912312. Its totient is φ = 120899493120.

The previous prime is 131442220373. The next prime is 131442220477. The reversal of 131442220429 is 924022244131.

It can be written as a sum of positive squares in 4 ways, for example, as 616777225 + 130825443204 = 24835^2 + 361698^2 .

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 131442220429 - 229 = 130905349517 is a prime.

It is a super-2 number, since 2×1314422204292 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131442220394 and 131442220403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131442020429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17987344 + ... + 17994649.

It is an arithmetic number, because the mean of its divisors is an integer number (17757114039).

Almost surely, 2131442220429 is an apocalyptic number.

It is an amenable number.

131442220429 is a deficient number, since it is larger than the sum of its proper divisors (10614691883).

131442220429 is a wasteful number, since it uses less digits than its factorization.

131442220429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35982287.

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 131442220429 in words is "one hundred thirty-one billion, four hundred forty-two million, two hundred twenty thousand, four hundred twenty-nine".

Divisors: 1 13 281 3653 35981993 467765909 10110940033 131442220429