Base | Representation |
---|---|
bin | 10010101000001110… |
… | …10010101001000100 |
3 | 221210222220011002000 |
4 | 21110013102221010 |
5 | 130440242211400 |
6 | 4332222545300 |
7 | 502560135351 |
oct | 112407225104 |
9 | 27728804060 |
10 | 10001132100 |
11 | 4272418633 |
12 | 1b31438230 |
13 | c34cc585b |
14 | 6ac379628 |
15 | 3d8033600 |
hex | 2541d2a44 |
10001132100 has 72 divisors (see below), whose sum is σ = 32151796320. Its totient is φ = 2666967840.
The previous prime is 10001132093. The next prime is 10001132101. The reversal of 10001132100 is 123110001.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (10001132101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1849362 + ... + 1854761.
Almost surely, 210001132100 is an apocalyptic number.
10001132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
10001132100 is an abundant number, since it is smaller than the sum of its proper divisors (22150664220).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10001132100 is a wasteful number, since it uses less digits than its factorization.
10001132100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3704146 (or 3704133 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 9.
Adding to 10001132100 its reverse (123110001), we get a palindrome (10124242101).
The spelling of 10001132100 in words is "ten billion, one million, one hundred thirty-two thousand, one hundred".
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