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314555201 is a prime number
BaseRepresentation
bin10010101111111…
…011101101000001
3210220220001121122
4102233323231001
51121011231301
651114002025
710536450362
oct2257735501
9726801548
10314555201
11151615a84
1289416315
1350225b4c
142dac1b69
151c93681b
hex12bfbb41

314555201 has 2 divisors, whose sum is σ = 314555202. Its totient is φ = 314555200.

The previous prime is 314555183. The next prime is 314555207. The reversal of 314555201 is 102555413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 292239025 + 22316176 = 17095^2 + 4724^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314555201 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (314555207) 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, 157277600 + 157277601.

It is an arithmetic number, because the mean of its divisors is an integer number (157277601).

Almost surely, 2314555201 is an apocalyptic number.

It is an amenable number.

314555201 is a deficient number, since it is larger than the sum of its proper divisors (1).

314555201 is an equidigital number, since it uses as much as digits as its factorization.

314555201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 314555201 is about 17735.7041303693. The cubic root of 314555201 is about 680.0888011192.

The spelling of 314555201 in words is "three hundred fourteen million, five hundred fifty-five thousand, two hundred one".