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131141340200441 is a prime number
BaseRepresentation
bin11101110100010110111000…
…111111110111110111111001
3122012022222201110221211101102
4131310112320333313313321
5114142104431042403231
61142525255555301145
736423435443301644
oct3564267077676771
9565288643854342
10131141340200441
113887080377172a
12128600a15aa7b5
135823762c8480c
1424553bbc1aa5b
151026449512acb
hex7745b8ff7df9

131141340200441 has 2 divisors, whose sum is σ = 131141340200442. Its totient is φ = 131141340200440.

The previous prime is 131141340200369. The next prime is 131141340200509. The reversal of 131141340200441 is 144002043141131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98232301710841 + 32909038489600 = 9911221^2 + 5736640^2 .

It is a cyclic number.

It is not a de Polignac number, because 131141340200441 - 222 = 131141336006137 is a prime.

It is a super-2 number, since 2×1311413402004412 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131141340500441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65570670100220 + 65570670100221.

It is an arithmetic number, because the mean of its divisors is an integer number (65570670100221).

Almost surely, 2131141340200441 is an apocalyptic number.

It is an amenable number.

131141340200441 is a deficient number, since it is larger than the sum of its proper divisors (1).

131141340200441 is an equidigital number, since it uses as much as digits as its factorization.

131141340200441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 131141340200441 its reverse (144002043141131), we get a palindrome (275143383341572).

The spelling of 131141340200441 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred forty million, two hundred thousand, four hundred forty-one".