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2144312141131 = 103269577134129
BaseRepresentation
bin11111001101000010111…
…101101010010101001011
321120222211210121012022001
4133031002331222111023
5240113022402004011
64321030003011431
7310631024315266
oct37150275522513
97528753535261
102144312141131
11757441335426
122a76b9969b77
13127291606b64
1475adca85cdd
153aba25807c1
hex1f342f6a54b

2144312141131 has 16 divisors (see below), whose sum is σ = 2176962091200. Its totient is φ = 2111917252608.

The previous prime is 2144312141129. The next prime is 2144312141189. The reversal of 2144312141131 is 1311412134412.

It is a cyclic number.

It is not a de Polignac number, because 2144312141131 - 21 = 2144312141129 is a prime.

It is a super-2 number, since 2×21443121411312 (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 2144312141131.

It is not an unprimeable number, because it can be changed into a prime (2144312142131) 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 15 ways as a sum of consecutive naturals, for example, 15919875 + ... + 16054003.

It is an arithmetic number, because the mean of its divisors is an integer number (136060130700).

Almost surely, 22144312141131 is an apocalyptic number.

2144312141131 is a deficient number, since it is larger than the sum of its proper divisors (32649950069).

2144312141131 is a wasteful number, since it uses less digits than its factorization.

2144312141131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135078.

The product of its digits is 2304, while the sum is 28.

Adding to 2144312141131 its reverse (1311412134412), we get a palindrome (3455724275543).

The spelling of 2144312141131 in words is "two trillion, one hundred forty-four billion, three hundred twelve million, one hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 103 269 577 27707 59431 134129 155213 13815287 15986939 36080701 77392433 3716312203 7971420599 20818564477 2144312141131