Search a number
-
+
13142011024131 = 31110113963282389
BaseRepresentation
bin1011111100111101110011…
…1001100001001100000011
31201112100211100022000111220
42333033130321201030003
53210304314310233011
643541205001410123
72524323166365663
oct277173471411403
951470740260456
1013142011024131
11420754a680050
121583014a99943
13744395084502
1433611077c1a3
1517bcc1be7506
hexbf3dce61303

13142011024131 has 32 divisors (see below), whose sum is σ = 19306367228160. Its totient is φ = 7885402512000.

The previous prime is 13142011024123. The next prime is 13142011024141.

13142011024131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13142011024131 - 23 = 13142011024123 is a prime.

It is a super-2 number, since 2×131420110241312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13142011024141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46397485 + ... + 46679873.

It is an arithmetic number, because the mean of its divisors is an integer number (603323975880).

Almost surely, 213142011024131 is an apocalyptic number.

13142011024131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13142011024131 is a deficient number, since it is larger than the sum of its proper divisors (6164356204029).

13142011024131 is a wasteful number, since it uses less digits than its factorization.

13142011024131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296467.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 1314201 and 1024131, that added together give a palindrome (2338332).

The spelling of 13142011024131 in words is "thirteen trillion, one hundred forty-two billion, eleven million, twenty-four thousand, one hundred thirty-one".

Divisors: 1 3 11 33 101 303 1111 3333 13963 41889 153593 282389 460779 847167 1410263 3106279 4230789 9318837 15512893 28521289 46538679 85563867 313734179 941202537 3942997607 11828992821 43372973677 130118921031 398242758307 1194728274921 4380670341377 13142011024131