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11413141131 = 37171271391811
BaseRepresentation
bin10101010000100011…
…01011011010001011
31002110101211122022210
422220101223122023
5141333231004011
65124303120203
7552554045640
oct125021533213
932411748283
1011413141131
114927469947
1222662a3063
1310cb6ba462
147a3ad5dc7
1546be9b6a6
hex2a846b68b

11413141131 has 64 divisors (see below), whose sum is σ = 18703319040. Its totient is φ = 6042677760.

The previous prime is 11413141111. The next prime is 11413141163. The reversal of 11413141131 is 13114131411.

It is not a de Polignac number, because 11413141131 - 25 = 11413141099 is a prime.

It is a super-2 number, since 2×114131411312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11413141098 and 11413141107.

It is not an unprimeable number, because it can be changed into a prime (11413141111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6301216 + ... + 6303026.

It is an arithmetic number, because the mean of its divisors is an integer number (292239360).

Almost surely, 211413141131 is an apocalyptic number.

11413141131 is a deficient number, since it is larger than the sum of its proper divisors (7290177909).

11413141131 is a wasteful number, since it uses less digits than its factorization.

11413141131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104.

The product of its digits is 144, while the sum is 21.

Adding to 11413141131 its reverse (13114131411), we get a palindrome (24527272542).

The spelling of 11413141131 in words is "eleven billion, four hundred thirteen million, one hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 17 21 51 119 127 139 357 381 417 889 973 1811 2159 2363 2667 2919 5433 6477 7089 12677 15113 16541 17653 30787 38031 45339 49623 52959 92361 123571 215509 229997 251729 300101 370713 646527 689991 755187 900303 1609979 1762103 2100707 3909949 4279393 4829937 5286309 6302121 11729847 12838179 27369643 29955751 31969583 82108929 89867253 95908749 223787081 543482911 671361243 1630448733 3804380377 11413141131