Base | Representation |
---|---|
bin | 1010100001000000010000… |
… | …10111010001111011010100 |
3 | 10000212122201100012020021100 |
4 | 11100200020113101323110 |
5 | 11012331423011222012 |
6 | 121103044154550100 |
7 | 4604446220636115 |
oct | 520401027217324 |
9 | 100778640166240 |
10 | 23124244242132 |
11 | 7405a34032860 |
12 | 2715772738330 |
13 | cb97b73c7377 |
14 | 59d31002c20c |
15 | 2a17abe9d8dc |
hex | 1508085d1ed4 |
23124244242132 has 144 divisors (see below), whose sum is σ = 67524943449600. Its totient is φ = 6598786927680.
The previous prime is 23124244242091. The next prime is 23124244242139.
23124244242132 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 42 + 442 + 42 + 132 = 666.
23124244242132 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23124244242139) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7945282 + ... + 10458297.
It is an arithmetic number, because the mean of its divisors is an integer number (468923218400).
Almost surely, 223124244242132 is an apocalyptic number.
23124244242132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
23124244242132 is an abundant number, since it is smaller than the sum of its proper divisors (44400699207468).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23124244242132 is a wasteful number, since it uses less digits than its factorization.
23124244242132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18403786 (or 18403781 counting only the distinct ones).
The product of its digits is 147456, while the sum is 36.
It can be divided in two parts, 2312424 and 4242132, that added together give a palindrome (6554556).
The spelling of 23124244242132 in words is "twenty-three trillion, one hundred twenty-four billion, two hundred forty-four million, two hundred forty-two thousand, one hundred thirty-two".
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