Base | Representation |
---|---|
bin | 111101000111000101… |
… | …1101000010010000011 |
3 | 110112201221201220011101 |
4 | 1322032023220102003 |
5 | 4122232003312011 |
6 | 140142133155231 |
7 | 12324053160565 |
oct | 1721613502203 |
9 | 415657656141 |
10 | 131234432131 |
11 | 50724463280 |
12 | 2152618bb17 |
13 | c4b586344a |
14 | 64cd3dd335 |
15 | 36314012c1 |
hex | 1e8e2e8483 |
131234432131 has 32 divisors (see below), whose sum is σ = 148670380800. Its totient is φ = 114825300480.
The previous prime is 131234432129. The next prime is 131234432183.
131234432131 is nontrivially palindromic in base 10.
It is not a de Polignac number, because 131234432131 - 21 = 131234432129 is a prime.
It is a super-2 number, since 2×1312344321312 (a number of 23 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 131234432131.
It is not an unprimeable number, because it can be changed into a prime (131234432111) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6480540 + ... + 6500758.
It is an arithmetic number, because the mean of its divisors is an integer number (4645949400).
Almost surely, 2131234432131 is an apocalyptic number.
131234432131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
131234432131 is a deficient number, since it is larger than the sum of its proper divisors (17435948669).
131234432131 is a wasteful number, since it uses less digits than its factorization.
131234432131 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20499.
The product of its digits is 5184, while the sum is 28.
It can be divided in two parts, 131234 and 432131, that added together give a palindrome (563365).
The spelling of 131234432131 in words is "one hundred thirty-one billion, two hundred thirty-four million, four hundred thirty-two thousand, one hundred thirty-one".
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