Search a number
-
+
31312002321997 is a prime number
BaseRepresentation
bin1110001111010011001001…
…10001101000111001001101
311002212101202021112100020121
413013221210301220321031
513101003440043300442
6150332311342144541
76411134415205165
oct707514461507115
9132771667470217
1031312002321997
119a82389010421
123618586282151
13146192b002067
147a371a9995a5
1539476c77c967
hex1c7a64c68e4d

31312002321997 has 2 divisors, whose sum is σ = 31312002321998. Its totient is φ = 31312002321996.

The previous prime is 31312002321979. The next prime is 31312002322031. The reversal of 31312002321997 is 79912320021313.

Together with previous prime (31312002321979) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30254994206116 + 1057008115881 = 5500454^2 + 1028109^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31312002321997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31312002321907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15656001160998 + 15656001160999.

It is an arithmetic number, because the mean of its divisors is an integer number (15656001160999).

Almost surely, 231312002321997 is an apocalyptic number.

It is an amenable number.

31312002321997 is a deficient number, since it is larger than the sum of its proper divisors (1).

31312002321997 is an equidigital number, since it uses as much as digits as its factorization.

31312002321997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 122472, while the sum is 43.

The spelling of 31312002321997 in words is "thirty-one trillion, three hundred twelve billion, two million, three hundred twenty-one thousand, nine hundred ninety-seven".