Search a number
-
+
10013023113 = 323647224291
BaseRepresentation
bin10010101001101001…
…01001101110001001
3221211211021021110220
421110310221232021
5131001313214423
64333325500253
7503063202132
oct112464515611
927754237426
1010013023113
1142790aa515
121b35411689
13c375ca062
146adb92c89
153d90d19e3
hex254d29b89

10013023113 has 16 divisors (see below), whose sum is σ = 13952756736. Its totient is φ = 6375218960.

The previous prime is 10013023093. The next prime is 10013023133. The reversal of 10013023113 is 31132031001.

It is an interprime number because it is at equal distance from previous prime (10013023093) and next prime (10013023133).

It is a cyclic number.

It is not a de Polignac number, because 10013023113 - 212 = 10013019017 is a prime.

It is a super-2 number, since 2×100130231132 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10013023092 and 10013023101.

It is not an unprimeable number, because it can be changed into a prime (10013023133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67503 + ... + 156788.

It is an arithmetic number, because the mean of its divisors is an integer number (872047296).

Almost surely, 210013023113 is an apocalyptic number.

It is an amenable number.

10013023113 is a deficient number, since it is larger than the sum of its proper divisors (3939733623).

10013023113 is a wasteful number, since it uses less digits than its factorization.

10013023113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224964.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10013023113 its reverse (31132031001), we get a palindrome (41145054114).

The spelling of 10013023113 in words is "ten billion, thirteen million, twenty-three thousand, one hundred thirteen".

Divisors: 1 3 23 69 647 1941 14881 44643 224291 672873 5158693 15476079 145116277 435348831 3337674371 10013023113