Search a number
-
+
31266066257 is a prime number
BaseRepresentation
bin11101000111100110…
…100100111101010001
32222200222121201202222
4131013212210331101
51003013103110012
622210300150425
72154542115056
oct350746447521
988628551688
1031266066257
1112294974388
126086b38415
132c4377b72a
14172865502d
15c2ed64972
hex7479a4f51

31266066257 has 2 divisors, whose sum is σ = 31266066258. Its totient is φ = 31266066256.

The previous prime is 31266066193. The next prime is 31266066317. The reversal of 31266066257 is 75266066213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25890097216 + 5375969041 = 160904^2 + 73321^2 .

It is a cyclic number.

It is not a de Polignac number, because 31266066257 - 26 = 31266066193 is a prime.

It is a super-2 number, since 2×312660662572 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31266060257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15633033128 + 15633033129.

It is an arithmetic number, because the mean of its divisors is an integer number (15633033129).

Almost surely, 231266066257 is an apocalyptic number.

It is an amenable number.

31266066257 is a deficient number, since it is larger than the sum of its proper divisors (1).

31266066257 is an equidigital number, since it uses as much as digits as its factorization.

31266066257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 544320, while the sum is 44.

Subtracting from 31266066257 its sum of digits (44), we obtain a palindrome (31266066213).

The spelling of 31266066257 in words is "thirty-one billion, two hundred sixty-six million, sixty-six thousand, two hundred fifty-seven".