Search a number
-
+
31311021130117 is a prime number
BaseRepresentation
bin1110001111010001010100…
…10010101100000110000101
311002212022012220020122000121
413013220222102230012011
513100444432402130432
6150332030131541541
76411101202210361
oct707505222540605
9132768186218017
1031311021130117
119a81a25173443
12361835175a8b1
13146180294b951
147a36665462a1
15394711564197
hex1c7a2a4ac185

31311021130117 has 2 divisors, whose sum is σ = 31311021130118. Its totient is φ = 31311021130116.

The previous prime is 31311021130079. The next prime is 31311021130121. The reversal of 31311021130117 is 71103112011313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26083757415076 + 5227263715041 = 5107226^2 + 2286321^2 .

It is a cyclic number.

It is not a de Polignac number, because 31311021130117 - 231 = 31308873646469 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31311021130091 and 31311021130100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31311021130177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15655510565058 + 15655510565059.

It is an arithmetic number, because the mean of its divisors is an integer number (15655510565059).

Almost surely, 231311021130117 is an apocalyptic number.

It is an amenable number.

31311021130117 is a deficient number, since it is larger than the sum of its proper divisors (1).

31311021130117 is an equidigital number, since it uses as much as digits as its factorization.

31311021130117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 25.

The spelling of 31311021130117 in words is "thirty-one trillion, three hundred eleven billion, twenty-one million, one hundred thirty thousand, one hundred seventeen".