Search a number
-
+
31345232143117 is a prime number
BaseRepresentation
bin1110010000010001000010…
…11011010110001100001101
311002222120112010022011021011
413020020201123112030031
513102030013412034432
6150355444552405221
76413422034056144
oct710104133261415
9132876463264234
1031345232143117
119a95490415902
123622aba9a6811
131464ac55773c9
147a518dd5275b
15395564be5847
hex1c82216d630d

31345232143117 has 2 divisors, whose sum is σ = 31345232143118. Its totient is φ = 31345232143116.

The previous prime is 31345232143051. The next prime is 31345232143139. The reversal of 31345232143117 is 71134123254313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27238910866281 + 4106321276836 = 5219091^2 + 2026406^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31345232143117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31345232143117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31345232543117) 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, 15672616071558 + 15672616071559.

It is an arithmetic number, because the mean of its divisors is an integer number (15672616071559).

Almost surely, 231345232143117 is an apocalyptic number.

It is an amenable number.

31345232143117 is a deficient number, since it is larger than the sum of its proper divisors (1).

31345232143117 is an equidigital number, since it uses as much as digits as its factorization.

31345232143117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 181440, while the sum is 40.

The spelling of 31345232143117 in words is "thirty-one trillion, three hundred forty-five billion, two hundred thirty-two million, one hundred forty-three thousand, one hundred seventeen".