Search a number
-
+
13023023332037 is a prime number
BaseRepresentation
bin1011110110000010100010…
…1011011111101011000101
31201002222200212221222101212
42331200220223133223011
53201332122433111122
643410405550301205
72512611441605405
oct275405053375305
951088625858355
1013023023332037
114171040185934
121563b481b7805
137360b1826504
14330463a68805
15178b5aa54ce2
hexbd828adfac5

13023023332037 has 2 divisors, whose sum is σ = 13023023332038. Its totient is φ = 13023023332036.

The previous prime is 13023023332021. The next prime is 13023023332079. The reversal of 13023023332037 is 73023332032031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12875222298436 + 147801033601 = 3588206^2 + 384449^2 .

It is a cyclic number.

It is not a de Polignac number, because 13023023332037 - 24 = 13023023332021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13023023331994 and 13023023332012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13023023332337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6511511666018 + 6511511666019.

It is an arithmetic number, because the mean of its divisors is an integer number (6511511666019).

Almost surely, 213023023332037 is an apocalyptic number.

It is an amenable number.

13023023332037 is a deficient number, since it is larger than the sum of its proper divisors (1).

13023023332037 is an equidigital number, since it uses as much as digits as its factorization.

13023023332037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40824, while the sum is 32.

Adding to 13023023332037 its reverse (73023332032031), we get a palindrome (86046355364068).

The spelling of 13023023332037 in words is "thirteen trillion, twenty-three billion, twenty-three million, three hundred thirty-two thousand, thirty-seven".