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37192913130313 is a prime number
BaseRepresentation
bin10000111010011101001100…
…11000000001001101001001
311212200121102001202010202201
420131032212120001031021
514333332041230132223
6211034104410400201
710556046026246653
oct1035164630011511
9155617361663681
1037192913130313
111093a4759324a6
12420829b430061
13179a379a86915
1492820a3b36d3
154477166c3ead
hex21d3a6601349

37192913130313 has 2 divisors, whose sum is σ = 37192913130314. Its totient is φ = 37192913130312.

The previous prime is 37192913130211. The next prime is 37192913130323. The reversal of 37192913130313 is 31303131929173.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24678957355264 + 12513955775049 = 4967792^2 + 3537507^2 .

It is a cyclic number.

It is not a de Polignac number, because 37192913130313 - 225 = 37192879575881 is a prime.

It is not a weakly prime, because it can be changed into another prime (37192913130323) 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 as a sum of consecutive naturals, namely, 18596456565156 + 18596456565157.

It is an arithmetic number, because the mean of its divisors is an integer number (18596456565157).

Almost surely, 237192913130313 is an apocalyptic number.

It is an amenable number.

37192913130313 is a deficient number, since it is larger than the sum of its proper divisors (1).

37192913130313 is an equidigital number, since it uses as much as digits as its factorization.

37192913130313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 275562, while the sum is 46.

The spelling of 37192913130313 in words is "thirty-seven trillion, one hundred ninety-two billion, nine hundred thirteen million, one hundred thirty thousand, three hundred thirteen".