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312955117 is a prime number
BaseRepresentation
bin10010101001110…
…101000011101101
3210210212202201021
4102221311003231
51120104030432
651015414141
710520034406
oct2251650355
9723782637
10312955117
111507228a2
1288984351
134cab5757
142d7c69ad
151c71c697
hex12a750ed

312955117 has 2 divisors, whose sum is σ = 312955118. Its totient is φ = 312955116.

The previous prime is 312955109. The next prime is 312955151. The reversal of 312955117 is 711559213.

It is an a-pointer prime, because the next prime (312955151) can be obtained adding 312955117 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178997641 + 133957476 = 13379^2 + 11574^2 .

It is a cyclic number.

It is not a de Polignac number, because 312955117 - 23 = 312955109 is a prime.

It is equal to p16915543 and since 312955117 and 16915543 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 (312955217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156477558 + 156477559.

It is an arithmetic number, because the mean of its divisors is an integer number (156477559).

Almost surely, 2312955117 is an apocalyptic number.

It is an amenable number.

312955117 is a deficient number, since it is larger than the sum of its proper divisors (1).

312955117 is an equidigital number, since it uses as much as digits as its factorization.

312955117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9450, while the sum is 34.

The square root of 312955117 is about 17690.5374989004. The cubic root of 312955117 is about 678.9336783789.

The spelling of 312955117 in words is "three hundred twelve million, nine hundred fifty-five thousand, one hundred seventeen".