Base | Representation |
---|---|
bin | 10101100010101111… |
… | …101110000100101100 |
3 | 2012201002000121200121 |
4 | 111202233232010230 |
5 | 334333131410012 |
6 | 14343152334324 |
7 | 1446135421540 |
oct | 254257560454 |
9 | 65632017617 |
10 | 23131513132 |
11 | 98a0155202 |
12 | 45968443a4 |
13 | 22483b75a0 |
14 | 1196163a20 |
15 | 905b3ba07 |
hex | 562bee12c |
23131513132 has 96 divisors (see below), whose sum is σ = 50854511232. Its totient is φ = 8961878016.
The previous prime is 23131513129. The next prime is 23131513157.
23131513132 is nontrivially palindromic in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 23131513097 and 23131513106.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21085608 + ... + 21086704.
It is an arithmetic number, because the mean of its divisors is an integer number (529734492).
Almost surely, 223131513132 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23131513132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25427255616).
23131513132 is an abundant number, since it is smaller than the sum of its proper divisors (27722998100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23131513132 is a wasteful number, since it uses less digits than its factorization.
23131513132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2267 (or 2265 counting only the distinct ones).
The product of its digits is 1620, while the sum is 25.
The spelling of 23131513132 in words is "twenty-three billion, one hundred thirty-one million, five hundred thirteen thousand, one hundred thirty-two".
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