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315985301 is a prime number
BaseRepresentation
bin10010110101011…
…000110110010101
3211000120201100022
4102311120312111
51121343012201
651204354525
710554554642
oct2265306625
9730521308
10315985301
11152402485
12899a5a45
1350606a68
142dd74dc9
151cb1a41b
hex12d58d95

315985301 has 2 divisors, whose sum is σ = 315985302. Its totient is φ = 315985300.

The previous prime is 315985289. The next prime is 315985303. The reversal of 315985301 is 103589513.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 315915076 + 70225 = 17774^2 + 265^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-315985301 is a prime.

Together with 315985303, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p17070398 and since 315985301 and 17070398 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (315985303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157992650 + 157992651.

It is an arithmetic number, because the mean of its divisors is an integer number (157992651).

Almost surely, 2315985301 is an apocalyptic number.

It is an amenable number.

315985301 is a deficient number, since it is larger than the sum of its proper divisors (1).

315985301 is an equidigital number, since it uses as much as digits as its factorization.

315985301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 35.

The square root of 315985301 is about 17775.9753881468. The cubic root of 315985301 is about 681.1178995216.

The spelling of 315985301 in words is "three hundred fifteen million, nine hundred eighty-five thousand, three hundred one".