Search a number
-
+
31182028417 is a prime number
BaseRepresentation
bin11101000010100101…
…111111111010000001
32222111010111011112101
4131002211333322001
51002330044402132
622154055030401
72152501603561
oct350245777201
988433434471
1031182028417
1112251495521
12606296b401
132c2c2364b7
14171b41ada1
15c277b47e7
hex74297fe81

31182028417 has 2 divisors, whose sum is σ = 31182028418. Its totient is φ = 31182028416.

The previous prime is 31182028399. The next prime is 31182028457. The reversal of 31182028417 is 71482028113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19332399681 + 11849628736 = 139041^2 + 108856^2 .

It is a cyclic number.

It is not a de Polignac number, because 31182028417 - 219 = 31181504129 is a prime.

It is not a weakly prime, because it can be changed into another prime (31182028457) 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, 15591014208 + 15591014209.

It is an arithmetic number, because the mean of its divisors is an integer number (15591014209).

Almost surely, 231182028417 is an apocalyptic number.

It is an amenable number.

31182028417 is a deficient number, since it is larger than the sum of its proper divisors (1).

31182028417 is an equidigital number, since it uses as much as digits as its factorization.

31182028417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 31182028417 in words is "thirty-one billion, one hundred eighty-two million, twenty-eight thousand, four hundred seventeen".