Base | Representation |
---|---|
bin | 10010110110110010… |
… | …00100001101100100 |
3 | 222010111122110210020 |
4 | 21123121010031210 |
5 | 131213021411400 |
6 | 4352303555140 |
7 | 505602024132 |
oct | 113331041544 |
9 | 28114573706 |
10 | 10123232100 |
11 | 4325334123 |
12 | 1b662bbab0 |
13 | c543a6587 |
14 | 6c0680752 |
15 | 3e3b012a0 |
hex | 25b644364 |
10123232100 has 144 divisors (see below), whose sum is σ = 30124905216. Its totient is φ = 2623104000.
The previous prime is 10123232089. The next prime is 10123232113. The reversal of 10123232100 is 123232101.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 10123232100.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3331782 + ... + 3334818.
Almost surely, 210123232100 is an apocalyptic number.
10123232100 is a gapful number since it is divisible by the number (10) 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 10123232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15062452608).
10123232100 is an abundant number, since it is smaller than the sum of its proper divisors (20001673116).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10123232100 is a wasteful number, since it uses less digits than its factorization.
10123232100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3366 (or 3359 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
Adding to 10123232100 its reverse (123232101), we get a palindrome (10246464201).
Subtracting from 10123232100 its reverse (123232101), we obtain a palindrome (9999999999).
The spelling of 10123232100 in words is "ten billion, one hundred twenty-three million, two hundred thirty-two thousand, one hundred".
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