Base | Representation |
---|---|
bin | 10101011011101100… |
… | …111000110010110100 |
3 | 2012101211122022001021 |
4 | 111123230320302310 |
5 | 334112403030400 |
6 | 14323331310524 |
7 | 1443202035565 |
oct | 253354706264 |
9 | 65354568037 |
10 | 23013330100 |
11 | 983a474582 |
12 | 456314b444 |
13 | 2229a786b7 |
14 | 118459c16c |
15 | 8ea59471a |
hex | 55bb38cb4 |
23013330100 has 108 divisors (see below), whose sum is σ = 55842710560. Its totient is φ = 8207654400.
The previous prime is 23013330059. The next prime is 23013330101. The reversal of 23013330100 is 103331032.
It is a super-2 number, since 2×230133301002 (a number of 22 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23013330101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 528145 + ... + 570055.
Almost surely, 223013330100 is an apocalyptic number.
23013330100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23013330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27921355280).
23013330100 is an abundant number, since it is smaller than the sum of its proper divisors (32829380460).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23013330100 is a wasteful number, since it uses less digits than its factorization.
23013330100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 41978 (or 41954 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 16.
Adding to 23013330100 its reverse (103331032), we get a palindrome (23116661132).
The spelling of 23013330100 in words is "twenty-three billion, thirteen million, three hundred thirty thousand, one hundred".
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