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37131000341 is a prime number
BaseRepresentation
bin100010100101001011…
…100001101000010101
310112211201112020211212
4202211023201220111
51102021014002331
625020250111205
72453066203211
oct424513415025
9115751466755
1037131000341
1114824533146
12724311b505
133669876c26
141b23545941
15e74bbcd2b
hex8a52e1a15

37131000341 has 2 divisors, whose sum is σ = 37131000342. Its totient is φ = 37131000340.

The previous prime is 37131000323. The next prime is 37131000349. The reversal of 37131000341 is 14300013173.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25354192900 + 11776807441 = 159230^2 + 108521^2 .

It is a cyclic number.

It is not a de Polignac number, because 37131000341 - 226 = 37063891477 is a prime.

It is a super-2 number, since 2×371310003412 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37131000349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18565500170 + 18565500171.

It is an arithmetic number, because the mean of its divisors is an integer number (18565500171).

Almost surely, 237131000341 is an apocalyptic number.

It is an amenable number.

37131000341 is a deficient number, since it is larger than the sum of its proper divisors (1).

37131000341 is an equidigital number, since it uses as much as digits as its factorization.

37131000341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 23.

The spelling of 37131000341 in words is "thirty-seven billion, one hundred thirty-one million, three hundred forty-one", and thus it is an aban number.