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312053891137 is a prime number
BaseRepresentation
bin1001000101001111101…
…11001000000001000001
31002211110120110010211121
410202213313020001001
520103041244004022
6355204445512241
731354662211162
oct4424767100101
91084416403747
10312053891137
111103833170aa
125058a272681
13235711b1981
1411163d8b769
1581b5a272c7
hex48a7dc8041

312053891137 has 2 divisors, whose sum is σ = 312053891138. Its totient is φ = 312053891136.

The previous prime is 312053891129. The next prime is 312053891147. The reversal of 312053891137 is 731198350213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 215889400321 + 96164490816 = 464639^2 + 310104^2 .

It is a cyclic number.

It is not a de Polignac number, because 312053891137 - 23 = 312053891129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312053891093 and 312053891102.

It is not a weakly prime, because it can be changed into another prime (312053891147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156026945568 + 156026945569.

It is an arithmetic number, because the mean of its divisors is an integer number (156026945569).

Almost surely, 2312053891137 is an apocalyptic number.

It is an amenable number.

312053891137 is a deficient number, since it is larger than the sum of its proper divisors (1).

312053891137 is an equidigital number, since it uses as much as digits as its factorization.

312053891137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 43.

The spelling of 312053891137 in words is "three hundred twelve billion, fifty-three million, eight hundred ninety-one thousand, one hundred thirty-seven".