Base | Representation |
---|---|
bin | 10010101010110110… |
… | …11110010101100100 |
3 | 221212112102022200100 |
4 | 21111123132111210 |
5 | 131011414400400 |
6 | 4334331544100 |
7 | 503245536504 |
oct | 112533362544 |
9 | 27775368610 |
10 | 10023200100 |
11 | 4283920651 |
12 | 1b388bb030 |
13 | c39751344 |
14 | 6b1281a04 |
15 | 3d9e42100 |
hex | 2556de564 |
10023200100 has 108 divisors (see below), whose sum is σ = 32266383604. Its totient is φ = 2600605440.
The previous prime is 10023200071. The next prime is 10023200171. The reversal of 10023200100 is 100232001.
It is a happy number.
It can be written as a sum of positive squares in 6 ways, for example, as 659154276 + 9364045824 = 25674^2 + 96768^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117199 + ... + 183798.
Almost surely, 210023200100 is an apocalyptic number.
10023200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
10023200100 is an abundant number, since it is smaller than the sum of its proper divisors (22243183504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10023200100 is a wasteful number, since it uses less digits than its factorization.
10023200100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 301054 (or 301044 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
Adding to 10023200100 its reverse (100232001), we get a palindrome (10123432101).
10023200100 divided by its reverse (100232001) gives a square (100 = 102).
The spelling of 10023200100 in words is "ten billion, twenty-three million, two hundred thousand, one hundred".
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