Search a number
-
+
23117356472057 is a prime number
BaseRepresentation
bin1010100000110011011011…
…10100100001011011111001
310000211222221022122020222222
411100121231310201123321
511012223321224101212
6121055544510053425
74604113433566601
oct520315564413371
9100758838566888
1023117356472057
11740301a0731a1
12271436baaa275
13cb8c5a427783
1459cc59367c01
152a1507452c72
hex15066dd216f9

23117356472057 has 2 divisors, whose sum is σ = 23117356472058. Its totient is φ = 23117356472056.

The previous prime is 23117356472033. The next prime is 23117356472101. The reversal of 23117356472057 is 75027465371132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15857112445801 + 7260244026256 = 3982099^2 + 2694484^2 .

It is a cyclic number.

It is not a de Polignac number, because 23117356472057 - 238 = 22842478565113 is a prime.

It is a super-2 number, since 2×231173564720572 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (23117356472257) 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, 11558678236028 + 11558678236029.

It is an arithmetic number, because the mean of its divisors is an integer number (11558678236029).

Almost surely, 223117356472057 is an apocalyptic number.

It is an amenable number.

23117356472057 is a deficient number, since it is larger than the sum of its proper divisors (1).

23117356472057 is an equidigital number, since it uses as much as digits as its factorization.

23117356472057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7408800, while the sum is 53.

The spelling of 23117356472057 in words is "twenty-three trillion, one hundred seventeen billion, three hundred fifty-six million, four hundred seventy-two thousand, fifty-seven".