Search a number
-
+
113013101329 is a prime number
BaseRepresentation
bin110100101000000011…
…0110001001100010001
3101210201002002101100121
41221100012301030101
53322422323220304
6123530102550241
711110366340302
oct1512006611421
9353632071317
10113013101329
1143a23a497a7
1219a9ba38381
13a87081a7bb
14568143a7a9
152e168c8554
hex1a501b1311

113013101329 has 2 divisors, whose sum is σ = 113013101330. Its totient is φ = 113013101328.

The previous prime is 113013101317. The next prime is 113013101359. The reversal of 113013101329 is 923101310311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112932963025 + 80138304 = 336055^2 + 8952^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113013101329 is a prime.

It is a super-2 number, since 2×1130131013292 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (113013101309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56506550664 + 56506550665.

It is an arithmetic number, because the mean of its divisors is an integer number (56506550665).

Almost surely, 2113013101329 is an apocalyptic number.

It is an amenable number.

113013101329 is a deficient number, since it is larger than the sum of its proper divisors (1).

113013101329 is an equidigital number, since it uses as much as digits as its factorization.

113013101329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 25.

The spelling of 113013101329 in words is "one hundred thirteen billion, thirteen million, one hundred one thousand, three hundred twenty-nine".