Search a number
-
+
312131320187 is a prime number
BaseRepresentation
bin1001000101011000111…
…10011111100101111011
31002211122222010221112012
410202230132133211323
520103221104221222
6355220253240135
731356622305641
oct4425436374573
91084588127465
10312131320187
11110412aa1755
12505b019304b
1323584251a8b
1411170385191
1581bc71e1e2
hex48ac79f97b

312131320187 has 2 divisors, whose sum is σ = 312131320188. Its totient is φ = 312131320186.

The previous prime is 312131320129. The next prime is 312131320213. The reversal of 312131320187 is 781023131213.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 312131320187 - 28 = 312131319931 is a prime.

It is a super-2 number, since 2×3121313201872 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312131320687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156065660093 + 156065660094.

It is an arithmetic number, because the mean of its divisors is an integer number (156065660094).

Almost surely, 2312131320187 is an apocalyptic number.

312131320187 is a deficient number, since it is larger than the sum of its proper divisors (1).

312131320187 is an equidigital number, since it uses as much as digits as its factorization.

312131320187 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 312131320187 in words is "three hundred twelve billion, one hundred thirty-one million, three hundred twenty thousand, one hundred eighty-seven".