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312053381 is a prime number
BaseRepresentation
bin10010100110011…
…000111010000101
3210202011221202122
4102212120322011
51114341202011
650544215325
710506260423
oct2246307205
9722157678
10312053381
11150167362
128860a545
134c85b193
142d630113
151c5e03db
hex12998e85

312053381 has 2 divisors, whose sum is σ = 312053382. Its totient is φ = 312053380.

The previous prime is 312053341. The next prime is 312053383. The reversal of 312053381 is 183350213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312052225 + 1156 = 17665^2 + 34^2 .

It is a cyclic number.

It is not a de Polignac number, because 312053381 - 222 = 307859077 is a prime.

It is a super-2 number, since 2×3120533812 = 194754625187062322, which contains 22 as substring.

Together with 312053383, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312053381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312053383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156026690 + 156026691.

It is an arithmetic number, because the mean of its divisors is an integer number (156026691).

Almost surely, 2312053381 is an apocalyptic number.

It is an amenable number.

312053381 is a deficient number, since it is larger than the sum of its proper divisors (1).

312053381 is an equidigital number, since it uses as much as digits as its factorization.

312053381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 312053381 is about 17665.0327200376. The cubic root of 312053381 is about 678.2809672214.

The spelling of 312053381 in words is "three hundred twelve million, fifty-three thousand, three hundred eighty-one".