Search a number
-
+
31171122457 is a prime number
BaseRepresentation
bin11101000001111100…
…011001010100011001
32222110100222002100221
4131001330121110121
51002314301404312
622153025200041
72152310112016
oct350174312431
988410862327
1031171122457
1112246316732
12605b190021
132c29bb8477
141719bbc70d
15c2685d207
hex741f19519

31171122457 has 2 divisors, whose sum is σ = 31171122458. Its totient is φ = 31171122456.

The previous prime is 31171122373. The next prime is 31171122461. The reversal of 31171122457 is 75422117113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16662679056 + 14508443401 = 129084^2 + 120451^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31171122457 is a prime.

It is not a weakly prime, because it can be changed into another prime (31171122557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15585561228 + 15585561229.

It is an arithmetic number, because the mean of its divisors is an integer number (15585561229).

Almost surely, 231171122457 is an apocalyptic number.

It is an amenable number.

31171122457 is a deficient number, since it is larger than the sum of its proper divisors (1).

31171122457 is an equidigital number, since it uses as much as digits as its factorization.

31171122457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11760, while the sum is 34.

The spelling of 31171122457 in words is "thirty-one billion, one hundred seventy-one million, one hundred twenty-two thousand, four hundred fifty-seven".