Base | Representation |
---|---|
bin | 10110100101001110… |
… | …00111001101111011 |
3 | 1011021220022200121210 |
4 | 23102213013031323 |
5 | 144312042400011 |
6 | 5322554334203 |
7 | 606300140430 |
oct | 132247071573 |
9 | 34256280553 |
10 | 12123403131 |
11 | 5161388234 |
12 | 242412a363 |
13 | 11b28b0728 |
14 | 830181b87 |
15 | 4ae4e96a6 |
hex | 2d29c737b |
12123403131 has 64 divisors (see below), whose sum is σ = 19964620800. Its totient is φ = 6390182016.
The previous prime is 12123403099. The next prime is 12123403133. The reversal of 12123403131 is 13130432121.
It is not a de Polignac number, because 12123403131 - 25 = 12123403099 is a prime.
It is a super-4 number, since 4×121234031314 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
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 = 12123403098 and 12123403107.
It is not an unprimeable number, because it can be changed into a prime (12123403133) 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, 2516481 + ... + 2521293.
It is an arithmetic number, because the mean of its divisors is an integer number (311947200).
Almost surely, 212123403131 is an apocalyptic number.
12123403131 is a deficient number, since it is larger than the sum of its proper divisors (7841217669).
12123403131 is a wasteful number, since it uses less digits than its factorization.
12123403131 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5008.
The product of its (nonzero) digits is 432, while the sum is 21.
Adding to 12123403131 its reverse (13130432121), we get a palindrome (25253835252).
The spelling of 12123403131 in words is "twelve billion, one hundred twenty-three million, four hundred three thousand, one hundred thirty-one".
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