Search a number
-
+
312062891137 is a prime number
BaseRepresentation
bin1001000101010000110…
…01011101010010000001
31002211111012101101111221
410202220121131102001
520103101100004022
6355205410435041
731355131544224
oct4425031352201
91084435341457
10312062891137
11110388403a18
1250591292a81
132357301330a
14111652515bb
1581b6703cc7
hex48a865d481

312062891137 has 2 divisors, whose sum is σ = 312062891138. Its totient is φ = 312062891136.

The previous prime is 312062891117. The next prime is 312062891149. The reversal of 312062891137 is 731198260213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 175032620161 + 137030270976 = 418369^2 + 370176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312062891137 is a prime.

It is a super-2 number, since 2×3120628911372 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312062891093 and 312062891102.

It is not a weakly prime, because it can be changed into another prime (312062891117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156031445568 + 156031445569.

It is an arithmetic number, because the mean of its divisors is an integer number (156031445569).

Almost surely, 2312062891137 is an apocalyptic number.

It is an amenable number.

312062891137 is a deficient number, since it is larger than the sum of its proper divisors (1).

312062891137 is an equidigital number, since it uses as much as digits as its factorization.

312062891137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 312062891137 in words is "three hundred twelve billion, sixty-two million, eight hundred ninety-one thousand, one hundred thirty-seven".