Search a number
-
+
312401107 is a prime number
BaseRepresentation
bin10010100111101…
…101110011010011
3210202211121202101
4102213231303103
51114433313412
650555501231
710512236254
oct2247556323
9722747671
10312401107
11150384637
1288757817
134c950535
142d6c0b2b
151c65d457
hex129edcd3

312401107 has 2 divisors, whose sum is σ = 312401108. Its totient is φ = 312401106.

The previous prime is 312401093. The next prime is 312401143. The reversal of 312401107 is 701104213.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 312401107 - 215 = 312368339 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312401147) 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, 156200553 + 156200554.

It is an arithmetic number, because the mean of its divisors is an integer number (156200554).

Almost surely, 2312401107 is an apocalyptic number.

312401107 is a deficient number, since it is larger than the sum of its proper divisors (1).

312401107 is an equidigital number, since it uses as much as digits as its factorization.

312401107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 312401107 is about 17674.8721919000. The cubic root of 312401107 is about 678.5328134227.

The spelling of 312401107 in words is "three hundred twelve million, four hundred one thousand, one hundred seven".