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1024504412131 = 194153175914107
BaseRepresentation
bin11101110100010010011…
…10001011011111100011
310121221102110210112112201
432322021032023133203
5113241141112142011
62102352325034031
7134006113550554
oct16721116133743
93557373715481
101024504412131
11365543039472
12146680555917
13757c1c332a5
143782ca6632b
151b9b2b92cc1
hexee8938b7e3

1024504412131 has 32 divisors (see below), whose sum is σ = 1126292428800. Its totient is φ = 928450149120.

The previous prime is 1024504412119. The next prime is 1024504412149. The reversal of 1024504412131 is 1312144054201.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1024504412131 is a prime.

It is a super-2 number, since 2×10245044121312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1024504412131.

It is not an unprimeable number, because it can be changed into a prime (1024504412101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72616780 + ... + 72630886.

It is an arithmetic number, because the mean of its divisors is an integer number (35196638400).

Almost surely, 21024504412131 is an apocalyptic number.

1024504412131 is a deficient number, since it is larger than the sum of its proper divisors (101788016669).

1024504412131 is a wasteful number, since it uses less digits than its factorization.

1024504412131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15979.

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 1024504412131 its reverse (1312144054201), we get a palindrome (2336648466332).

The spelling of 1024504412131 in words is "one trillion, twenty-four billion, five hundred four million, four hundred twelve thousand, one hundred thirty-one".

Divisors: 1 19 41 53 779 1007 1759 2173 14107 33421 41287 72119 93227 268033 578387 747671 1370261 1771313 3822307 10989353 14205749 24814213 30654511 72623833 471470047 582435709 1017382733 1315153289 19330271927 24987912491 53921284849 1024504412131