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312929117 is a prime number
BaseRepresentation
bin10010101001101…
…110101101011101
3210210211110001022
4102221232231131
51120102212432
651015053525
710516565534
oct2251565535
9723743038
10312929117
11150705306
12889712a5
134caa6977
142d7bb31b
151c714b12
hex12a6eb5d

312929117 has 2 divisors, whose sum is σ = 312929118. Its totient is φ = 312929116.

The previous prime is 312929083. The next prime is 312929131. The reversal of 312929117 is 711929213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 307862116 + 5067001 = 17546^2 + 2251^2 .

It is a cyclic number.

It is not a de Polignac number, because 312929117 - 210 = 312928093 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312929317) 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, 156464558 + 156464559.

It is an arithmetic number, because the mean of its divisors is an integer number (156464559).

Almost surely, 2312929117 is an apocalyptic number.

It is an amenable number.

312929117 is a deficient number, since it is larger than the sum of its proper divisors (1).

312929117 is an equidigital number, since it uses as much as digits as its factorization.

312929117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6804, while the sum is 35.

The square root of 312929117 is about 17689.8026275027. The cubic root of 312929117 is about 678.9148761465.

The spelling of 312929117 in words is "three hundred twelve million, nine hundred twenty-nine thousand, one hundred seventeen".