Search a number
-
+
23035733360657 is a prime number
BaseRepresentation
bin1010011110011011011001…
…01101000100000000010001
310000120012020212100120201222
411033031230231010000101
511004404140220020112
6120554245251334425
74565163642600023
oct517155455040021
9100505225316658
1023035733360657
117381443a3a536
1227005905b1415
13cb134cc57514
14598d14c00013
1529e32b71c372
hex14f36cb44011

23035733360657 has 2 divisors, whose sum is σ = 23035733360658. Its totient is φ = 23035733360656.

The previous prime is 23035733360581. The next prime is 23035733360771. The reversal of 23035733360657 is 75606333753032.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12343199597521 + 10692533763136 = 3513289^2 + 3269944^2 .

It is a cyclic number.

It is not a de Polignac number, because 23035733360657 - 228 = 23035464925201 is a prime.

It is a super-2 number, since 2×230357333606572 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23035733360599 and 23035733360608.

It is not a weakly prime, because it can be changed into another prime (23035733560657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11517866680328 + 11517866680329.

It is an arithmetic number, because the mean of its divisors is an integer number (11517866680329).

Almost surely, 223035733360657 is an apocalyptic number.

It is an amenable number.

23035733360657 is a deficient number, since it is larger than the sum of its proper divisors (1).

23035733360657 is an equidigital number, since it uses as much as digits as its factorization.

23035733360657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21432600, while the sum is 53.

The spelling of 23035733360657 in words is "twenty-three trillion, thirty-five billion, seven hundred thirty-three million, three hundred sixty thousand, six hundred fifty-seven".