Search a number
-
+
113122033004737 is a prime number
BaseRepresentation
bin11001101110001001000110…
…100101111111000011000001
3112211112100201222110000021101
4121232021012211333003001
5104311342410422122422
61040331313342054401
732553540301302601
oct3156110645770301
9484470658400241
10113122033004737
113305386a600599
121082b983b7a401
134b1749224a5b3
141dd11c818ac01
15d1286c63dc27
hex66e24697f0c1

113122033004737 has 2 divisors, whose sum is σ = 113122033004738. Its totient is φ = 113122033004736.

The previous prime is 113122033004731. The next prime is 113122033004779. The reversal of 113122033004737 is 737400330221311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92124752170896 + 20997280833841 = 9598164^2 + 4582279^2 .

It is a cyclic number.

It is not a de Polignac number, because 113122033004737 - 27 = 113122033004609 is a prime.

It is a super-2 number, since 2×1131220330047372 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113122033004696 and 113122033004705.

It is not a weakly prime, because it can be changed into another prime (113122033004731) 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, 56561016502368 + 56561016502369.

It is an arithmetic number, because the mean of its divisors is an integer number (56561016502369).

Almost surely, 2113122033004737 is an apocalyptic number.

It is an amenable number.

113122033004737 is a deficient number, since it is larger than the sum of its proper divisors (1).

113122033004737 is an equidigital number, since it uses as much as digits as its factorization.

113122033004737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63504, while the sum is 37.

The spelling of 113122033004737 in words is "one hundred thirteen trillion, one hundred twenty-two billion, thirty-three million, four thousand, seven hundred thirty-seven".