Search a number
-
+
13123597 is a prime number
BaseRepresentation
bin110010000100…
…000000001101
3220200202012011
4302010000031
511324423342
61145141221
7216356134
oct62040015
926622164
1013123597
117453a53
12448a811
132946556
141a5891b
151243717
hexc8400d

13123597 has 2 divisors, whose sum is σ = 13123598. Its totient is φ = 13123596.

The previous prime is 13123589. The next prime is 13123603. The reversal of 13123597 is 79532131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12524521 + 599076 = 3539^2 + 774^2 .

It is a cyclic number.

It is not a de Polignac number, because 13123597 - 23 = 13123589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13123577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561798 + 6561799.

It is an arithmetic number, because the mean of its divisors is an integer number (6561799).

Almost surely, 213123597 is an apocalyptic number.

It is an amenable number.

13123597 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123597 is an equidigital number, since it uses as much as digits as its factorization.

13123597 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5670, while the sum is 31.

The square root of 13123597 is about 3622.6505489765. The cubic root of 13123597 is about 235.8762937326.

The spelling of 13123597 in words is "thirteen million, one hundred twenty-three thousand, five hundred ninety-seven".