Search a number
-
+
23263156513 is a prime number
BaseRepresentation
bin10101101010100101…
…111001100100100001
32020001020201210110101
4111222211321210201
5340120332002023
614404214102401
71452324365512
oct255245714441
966036653411
1023263156513
119958499893
12461294aa01
13226975a08c
1411a9830a09
159124921ad
hex56a979921

23263156513 has 2 divisors, whose sum is σ = 23263156514. Its totient is φ = 23263156512.

The previous prime is 23263156487. The next prime is 23263156523. The reversal of 23263156513 is 31565136232.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22635804304 + 627352209 = 150452^2 + 25047^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23263156513 is a prime.

It is not a weakly prime, because it can be changed into another prime (23263156523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11631578256 + 11631578257.

It is an arithmetic number, because the mean of its divisors is an integer number (11631578257).

Almost surely, 223263156513 is an apocalyptic number.

It is an amenable number.

23263156513 is a deficient number, since it is larger than the sum of its proper divisors (1).

23263156513 is an equidigital number, since it uses as much as digits as its factorization.

23263156513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 97200, while the sum is 37.

It can be divided in two parts, 23263 and 156513, that added together give a square (179776 = 4242).

The spelling of 23263156513 in words is "twenty-three billion, two hundred sixty-three million, one hundred fifty-six thousand, five hundred thirteen".