Search a number
-
+
23211013432289 is a prime number
BaseRepresentation
bin1010100011100001111000…
…01101011110001111100001
310001011221200102201210110212
411101300330031132033201
511020242123414313124
6121210554203503505
74613640356612024
oct521607415361741
9101157612653425
1023211013432289
11743980aa77671
12272a549527b95
13cc4a34a81337
145a35c1c011bb
152a3b8989340e
hex151c3c35e3e1

23211013432289 has 2 divisors, whose sum is σ = 23211013432290. Its totient is φ = 23211013432288.

The previous prime is 23211013432213. The next prime is 23211013432297. The reversal of 23211013432289 is 98223431011232.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19715953270225 + 3495060162064 = 4440265^2 + 1869508^2 .

It is a cyclic number.

It is not a de Polignac number, because 23211013432289 - 212 = 23211013428193 is a prime.

It is a super-2 number, since 2×232110134322892 (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (23211013432489) 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, 11605506716144 + 11605506716145.

It is an arithmetic number, because the mean of its divisors is an integer number (11605506716145).

Almost surely, 223211013432289 is an apocalyptic number.

It is an amenable number.

23211013432289 is a deficient number, since it is larger than the sum of its proper divisors (1).

23211013432289 is an equidigital number, since it uses as much as digits as its factorization.

23211013432289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 23211013432289 in words is "twenty-three trillion, two hundred eleven billion, thirteen million, four hundred thirty-two thousand, two hundred eighty-nine".