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31130112330337 is a prime number
BaseRepresentation
bin1110001010000000010110…
…10010011000101001100001
311002020000021001102101211211
413011000023102120221201
513040013432224032322
6150112550504310121
76362035126611256
oct705001322305141
9132200231371754
1031130112330337
119a1222a939569
1235a9283772341
13144a73194c567
147989c3b7d42d
1538eb74191b77
hex1c500b498a61

31130112330337 has 2 divisors, whose sum is σ = 31130112330338. Its totient is φ = 31130112330336.

The previous prime is 31130112330323. The next prime is 31130112330379. The reversal of 31130112330337 is 73303321103113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29654297971776 + 1475814358561 = 5445576^2 + 1214831^2 .

It is a cyclic number.

It is not a de Polignac number, because 31130112330337 - 219 = 31130111806049 is a prime.

It is a super-2 number, since 2×311301123303372 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31130112330299 and 31130112330308.

It is not a weakly prime, because it can be changed into another prime (31130112331337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15565056165168 + 15565056165169.

It is an arithmetic number, because the mean of its divisors is an integer number (15565056165169).

Almost surely, 231130112330337 is an apocalyptic number.

It is an amenable number.

31130112330337 is a deficient number, since it is larger than the sum of its proper divisors (1).

31130112330337 is an equidigital number, since it uses as much as digits as its factorization.

31130112330337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 31.

The spelling of 31130112330337 in words is "thirty-one trillion, one hundred thirty billion, one hundred twelve million, three hundred thirty thousand, three hundred thirty-seven".