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3127363117261 is a prime number
BaseRepresentation
bin101101100000100101010…
…111100010000011001101
3102001222021022102222222021
4231200211113202003031
5402214314424223021
610352405113050141
7441641654614465
oct55404527420315
912058238388867
103127363117261
11aa6341a49879
1242612b6b6951
13198ba8319a96
14ab5180bcba5
155653ad3dc41
hex2d8255e20cd

3127363117261 has 2 divisors, whose sum is σ = 3127363117262. Its totient is φ = 3127363117260.

The previous prime is 3127363117237. The next prime is 3127363117267. The reversal of 3127363117261 is 1627113637213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2994218405161 + 133144712100 = 1730381^2 + 364890^2 .

It is a cyclic number.

It is not a de Polignac number, because 3127363117261 - 215 = 3127363084493 is a prime.

It is a super-2 number, since 2×31273631172612 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3127363117267) 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, 1563681558630 + 1563681558631.

It is an arithmetic number, because the mean of its divisors is an integer number (1563681558631).

Almost surely, 23127363117261 is an apocalyptic number.

It is an amenable number.

3127363117261 is a deficient number, since it is larger than the sum of its proper divisors (1).

3127363117261 is an equidigital number, since it uses as much as digits as its factorization.

3127363117261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 190512, while the sum is 43.

The spelling of 3127363117261 in words is "three trillion, one hundred twenty-seven billion, three hundred sixty-three million, one hundred seventeen thousand, two hundred sixty-one".