| Base | Representation |
|---|---|
| bin | 10101101010010111… |
| … | …001100000100000100 |
| 3 | 2020000222110212110021 |
| 4 | 111222113030010010 |
| 5 | 340113340100400 |
| 6 | 14403555304524 |
| 7 | 1452246534361 |
| oct | 255227140404 |
| 9 | 66028425407 |
| 10 | 23259300100 |
| 11 | 99562a5473 |
| 12 | 46115ab144 |
| 13 | 2268a0998a |
| 14 | 11a9109468 |
| 15 | 911e7e71a |
| hex | 56a5cc104 |
23259300100 has 81 divisors (see below), whose sum is σ = 51317192703. Its totient is φ = 9150600000.
The previous prime is 23259300089. The next prime is 23259300109. The reversal of 23259300100 is 100395232.
It is a happy number.
The square root of 23259300100 is 152510.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 4294705156 + 18964594944 = 65534^2 + 137712^2 .
It is a super-2 number, since 2×232593001002 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (23259300109) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 154035025 + ... + 154035175.
Almost surely, 223259300100 is an apocalyptic number.
23259300100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
23259300100 is the 152510-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23259300100
23259300100 is an abundant number, since it is smaller than the sum of its proper divisors (28057892603).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23259300100 is a wasteful number, since it uses less digits than its factorization.
23259300100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 518 (or 259 counting only the distinct ones).
The product of its (nonzero) digits is 1620, while the sum is 25.
Multiplying 23259300100 by its sum of digits (25), we get a square (581482502500 = 7625502).
23259300100 divided by its sum of digits (25) gives a square (930372004 = 305022).
Adding to 23259300100 its reverse (100395232), we get a palindrome (23359695332).
The spelling of 23259300100 in words is "twenty-three billion, two hundred fifty-nine million, three hundred thousand, one hundred".
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