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312203137 is a prime number
BaseRepresentation
bin10010100110111…
…101011110000001
3210202110120012011
4102212331132001
51114411000022
650551332521
710510453141
oct2246753601
9722416164
10312203137
11150259924
1288681141
134c8b13ac
142d66c921
151c61e977
hex129bd781

312203137 has 2 divisors, whose sum is σ = 312203138. Its totient is φ = 312203136.

The previous prime is 312203119. The next prime is 312203159. The reversal of 312203137 is 731302213.

It is a happy number.

It is an a-pointer prime, because the next prime (312203159) can be obtained adding 312203137 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 285069456 + 27133681 = 16884^2 + 5209^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312203137 is a prime.

It is a zygodrome in base 5.

It is not a weakly prime, because it can be changed into another prime (312203107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156101568 + 156101569.

It is an arithmetic number, because the mean of its divisors is an integer number (156101569).

Almost surely, 2312203137 is an apocalyptic number.

It is an amenable number.

312203137 is a deficient number, since it is larger than the sum of its proper divisors (1).

312203137 is an equidigital number, since it uses as much as digits as its factorization.

312203137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 312203137 is about 17669.2709809998. The cubic root of 312203137 is about 678.3894533608.

The spelling of 312203137 in words is "three hundred twelve million, two hundred three thousand, one hundred thirty-seven".