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312120310037 is a prime number
BaseRepresentation
bin1001000101010111101…
…00011111100100010101
31002211122012102120102212
410202223310133210111
520103210244410122
6355215221243205
731356426601244
oct4425364374425
91084565376385
10312120310037
11110407861658
12505a8563505
1323581b984b3
141116cb1a95b
1581bb796ce2
hex48abd1f915

312120310037 has 2 divisors, whose sum is σ = 312120310038. Its totient is φ = 312120310036.

The previous prime is 312120309997. The next prime is 312120310043. The reversal of 312120310037 is 730013021213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 194415737476 + 117704572561 = 440926^2 + 343081^2 .

It is a cyclic number.

It is not a de Polignac number, because 312120310037 - 210 = 312120309013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312120309994 and 312120310021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312120310837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156060155018 + 156060155019.

It is an arithmetic number, because the mean of its divisors is an integer number (156060155019).

Almost surely, 2312120310037 is an apocalyptic number.

It is an amenable number.

312120310037 is a deficient number, since it is larger than the sum of its proper divisors (1).

312120310037 is an equidigital number, since it uses as much as digits as its factorization.

312120310037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 23.

The spelling of 312120310037 in words is "three hundred twelve billion, one hundred twenty million, three hundred ten thousand, thirty-seven".