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313167401 is a prime number
BaseRepresentation
bin10010101010101…
…000111000101001
3210211021112220122
4102222220320221
51120132324101
651024133025
710521610331
oct2252507051
9724245818
10313167401
11150858338
1288a67175
134cb5b271
142d8400c1
151c76051b
hex12aa8e29

313167401 has 2 divisors, whose sum is σ = 313167402. Its totient is φ = 313167400.

The previous prime is 313167391. The next prime is 313167403. The reversal of 313167401 is 104761313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 298460176 + 14707225 = 17276^2 + 3835^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313167401 is a prime.

Together with 313167403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (313167403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156583700 + 156583701.

It is an arithmetic number, because the mean of its divisors is an integer number (156583701).

Almost surely, 2313167401 is an apocalyptic number.

It is an amenable number.

313167401 is a deficient number, since it is larger than the sum of its proper divisors (1).

313167401 is an equidigital number, since it uses as much as digits as its factorization.

313167401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 313167401 is about 17696.5364125300. The cubic root of 313167401 is about 679.0871553189.

The spelling of 313167401 in words is "three hundred thirteen million, one hundred sixty-seven thousand, four hundred one".