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131745541601 is a prime number
BaseRepresentation
bin111101010110010100…
…1010110110111100001
3110121001120110221112202
41322230221112313201
54124303324312401
6140304552102545
712342530424632
oct1725451266741
9417046427482
10131745541601
1150966a183a3
1221649394a55
13c56770809b
14653b247889
15366121106b
hex1eaca56de1

131745541601 has 2 divisors, whose sum is σ = 131745541602. Its totient is φ = 131745541600.

The previous prime is 131745541553. The next prime is 131745541633. The reversal of 131745541601 is 106145547131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128164716001 + 3580825600 = 358001^2 + 59840^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131745541601 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (131745541651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65872770800 + 65872770801.

It is an arithmetic number, because the mean of its divisors is an integer number (65872770801).

Almost surely, 2131745541601 is an apocalyptic number.

It is an amenable number.

131745541601 is a deficient number, since it is larger than the sum of its proper divisors (1).

131745541601 is an equidigital number, since it uses as much as digits as its factorization.

131745541601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 38.

The spelling of 131745541601 in words is "one hundred thirty-one billion, seven hundred forty-five million, five hundred forty-one thousand, six hundred one".