Base | Representation |
---|---|
bin | 101110101010110100… |
… | …0111001011010100100 |
3 | 100120200120112221021210 |
4 | 1131111220321122210 |
5 | 3120223041011400 |
6 | 114012500311420 |
7 | 10145366500650 |
oct | 1352550713244 |
9 | 316616487253 |
10 | 100221032100 |
11 | 3955a183862 |
12 | 1750b9a2570 |
13 | 95b254bb77 |
14 | 4bca559a60 |
15 | 291884a950 |
hex | 1755a396a4 |
100221032100 has 144 divisors (see below), whose sum is σ = 336344250368. Its totient is φ = 22565727360.
The previous prime is 100221032081. The next prime is 100221032101. The reversal of 100221032100 is 1230122001.
100221032100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (100221032101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215452 + ... + 496851.
Almost surely, 2100221032100 is an apocalyptic number.
100221032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
100221032100 is an abundant number, since it is smaller than the sum of its proper divisors (236123218268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100221032100 is a wasteful number, since it uses less digits than its factorization.
100221032100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 712394 (or 712387 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
Adding to 100221032100 its reverse (1230122001), we get a palindrome (101451154101).
The spelling of 100221032100 in words is "one hundred billion, two hundred twenty-one million, thirty-two thousand, one hundred".
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