Base | Representation |
---|---|
bin | 10101100010010000… |
… | …011011110111100100 |
3 | 2012200111120221222200 |
4 | 111202100123313210 |
5 | 334324031441400 |
6 | 14342300454500 |
7 | 1446005624040 |
oct | 254220336744 |
9 | 65614527880 |
10 | 23123312100 |
11 | 9896563699 |
12 | 4593b4a430 |
13 | 22467a57c5 |
14 | 119502b020 |
15 | 90506bb00 |
hex | 56241bde4 |
23123312100 has 432 divisors, whose sum is σ = 84810905088. Its totient is φ = 5160775680.
The previous prime is 23123312099. The next prime is 23123312111. The reversal of 23123312100 is 121332132.
23123312100 is a `hidden beast` number, since 2 + 312 + 331 + 21 + 0 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
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 143 ways as a sum of consecutive naturals, for example, 63006117 + ... + 63006483.
Almost surely, 223123312100 is an apocalyptic number.
23123312100 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 23123312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42405452544).
23123312100 is an abundant number, since it is smaller than the sum of its proper divisors (61687592988).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23123312100 is a wasteful number, since it uses less digits than its factorization.
23123312100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 604 (or 594 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 23123312100 its reverse (121332132), we get a palindrome (23244644232).
The spelling of 23123312100 in words is "twenty-three billion, one hundred twenty-three million, three hundred twelve thousand, one hundred".
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