Search a number
-
+
12035311352917 is a prime number
BaseRepresentation
bin1010111100100011000001…
…1101010011110001010101
31120121120020112121200122021
42233020300131103301111
53034141304201243132
641332540134533141
72351344143401206
oct257106035236125
946546215550567
1012035311352917
1139201685539a6
1214246355071b1
13693c04287958
142d87255b55ad
1515d0ecea3997
hexaf230753c55

12035311352917 has 2 divisors, whose sum is σ = 12035311352918. Its totient is φ = 12035311352916.

The previous prime is 12035311352891. The next prime is 12035311352921. The reversal of 12035311352917 is 71925311353021.

It is a happy number.

12035311352917 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10726371712996 + 1308939639921 = 3275114^2 + 1144089^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12035311352917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12035311352957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6017655676458 + 6017655676459.

It is an arithmetic number, because the mean of its divisors is an integer number (6017655676459).

Almost surely, 212035311352917 is an apocalyptic number.

It is an amenable number.

12035311352917 is a deficient number, since it is larger than the sum of its proper divisors (1).

12035311352917 is an equidigital number, since it uses as much as digits as its factorization.

12035311352917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 170100, while the sum is 43.

The spelling of 12035311352917 in words is "twelve trillion, thirty-five billion, three hundred eleven million, three hundred fifty-two thousand, nine hundred seventeen".