Search a number
-
+
12413358013 = 7245721213
BaseRepresentation
bin10111000111110010…
…01100111110111101
31012001002220220221111
423203321030332331
5200410304424023
65411433202021
7616420542100
oct134371147675
935032826844
1012413358013
1152a0020671
1224a5260311
13122a9a2274
1485a89c737
154c9bc200d
hex2e3e4cfbd

12413358013 has 18 divisors (see below), whose sum is σ = 14483625786. Its totient is φ = 10607986368.

The previous prime is 12413358007. The next prime is 12413358049. The reversal of 12413358013 is 31085331421.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2965129209 + 9448228804 = 54453^2 + 97202^2 .

It is not a de Polignac number, because 12413358013 - 213 = 12413349821 is a prime.

It is a super-2 number, since 2×124133580132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12413358913) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10232995 + ... + 10234207.

It is an arithmetic number, because the mean of its divisors is an integer number (804645877).

Almost surely, 212413358013 is an apocalyptic number.

It is an amenable number.

12413358013 is a deficient number, since it is larger than the sum of its proper divisors (2070267773).

12413358013 is an frugal number, since it uses more digits than its factorization.

12413358013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 12413358013 its reverse (31085331421), we get a palindrome (43498689434).

The spelling of 12413358013 in words is "twelve billion, four hundred thirteen million, three hundred fifty-eight thousand, thirteen".

Divisors: 1 7 49 457 1213 3199 8491 22393 59437 208849 554341 1461943 3880387 10233601 27162709 253333837 1773336859 12413358013