Search a number
-
+
12353015729 is a prime number
BaseRepresentation
bin10111000000100110…
…00000111110110001
31011212220101012220002
423200103000332301
5200244333000404
65401435555345
7615055621055
oct134023007661
934786335802
1012353015729
115269a5660a
122488bbbb55
13121b335582
14852871c65
154c4752c1e
hex2e04c0fb1

12353015729 has 2 divisors, whose sum is σ = 12353015730. Its totient is φ = 12353015728.

The previous prime is 12353015707. The next prime is 12353015777. The reversal of 12353015729 is 92751035321.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12001640704 + 351375025 = 109552^2 + 18745^2 .

It is a cyclic number.

It is not a de Polignac number, because 12353015729 - 228 = 12084580273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12353015692 and 12353015701.

It is not a weakly prime, because it can be changed into another prime (12353015629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6176507864 + 6176507865.

It is an arithmetic number, because the mean of its divisors is an integer number (6176507865).

Almost surely, 212353015729 is an apocalyptic number.

It is an amenable number.

12353015729 is a deficient number, since it is larger than the sum of its proper divisors (1).

12353015729 is an equidigital number, since it uses as much as digits as its factorization.

12353015729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56700, while the sum is 38.

The spelling of 12353015729 in words is "twelve billion, three hundred fifty-three million, fifteen thousand, seven hundred twenty-nine".