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131237420501 = 11210110738681
BaseRepresentation
bin111101000111001011…
…1000001110111010101
3110112202011100201102202
41322032113001313111
54122233234424001
6140142321214245
712324120445205
oct1721627016725
9415664321382
10131237420501
1150726114500
1221527191385
13c4b636b705
1464cd97a405
1536317e196b
hex1e8e5c1dd5

131237420501 has 12 divisors (see below), whose sum is σ = 145680960012. Its totient is φ = 118125480000.

The previous prime is 131237420473. The next prime is 131237420593. The reversal of 131237420501 is 105024732131.

It can be written as a sum of positive squares in 2 ways, for example, as 123200298001 + 8037122500 = 350999^2 + 89650^2 .

It is not a de Polignac number, because 131237420501 - 226 = 131170311637 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131237420201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5357120 + ... + 5381561.

It is an arithmetic number, because the mean of its divisors is an integer number (12140080001).

Almost surely, 2131237420501 is an apocalyptic number.

131237420501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131237420501 is a deficient number, since it is larger than the sum of its proper divisors (14443539511).

131237420501 is a wasteful number, since it uses less digits than its factorization.

131237420501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10738804 (or 10738793 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The spelling of 131237420501 in words is "one hundred thirty-one billion, two hundred thirty-seven million, four hundred twenty thousand, five hundred one".

Divisors: 1 11 101 121 1111 12221 10738681 118125491 1084606781 1299380401 11930674591 131237420501