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312405013 is a prime number
BaseRepresentation
bin10010100111101…
…110110000010101
3210202211211010001
4102213232300111
51114433430023
650555531301
710512253534
oct2247566025
9722754101
10312405013
11150387568
1288759b31
134c95224b
142d6c231b
151c65e6ad
hex129eec15

312405013 has 2 divisors, whose sum is σ = 312405014. Its totient is φ = 312405012.

The previous prime is 312404969. The next prime is 312405017. The reversal of 312405013 is 310504213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 306145009 + 6260004 = 17497^2 + 2502^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312405013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312405017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156202506 + 156202507.

It is an arithmetic number, because the mean of its divisors is an integer number (156202507).

Almost surely, 2312405013 is an apocalyptic number.

It is an amenable number.

312405013 is a deficient number, since it is larger than the sum of its proper divisors (1).

312405013 is an equidigital number, since it uses as much as digits as its factorization.

312405013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 312405013 is about 17674.9826874031. The cubic root of 312405013 is about 678.5356413449.

Adding to 312405013 its reverse (310504213), we get a palindrome (622909226).

The spelling of 312405013 in words is "three hundred twelve million, four hundred five thousand, thirteen".