Base | Representation |
---|---|
bin | 101110101010100001… |
… | …0101000101011110100 |
3 | 100120122212200100201022 |
4 | 1131111002220223310 |
5 | 3120213004031400 |
6 | 114011501320312 |
7 | 10145215314656 |
oct | 1352502505364 |
9 | 316585610638 |
10 | 100211002100 |
11 | 39554553100 |
12 | 17508566098 |
13 | 95b0449761 |
14 | 4bc90a86d6 |
15 | 2917a18b85 |
hex | 17550a8af4 |
100211002100 has 108 divisors (see below), whose sum is σ = 239312641344. Its totient is φ = 36396360000.
The previous prime is 100211002081. The next prime is 100211002109. The reversal of 100211002100 is 1200112001.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100211002109) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11018555 + ... + 11027645.
Almost surely, 2100211002100 is an apocalyptic number.
100211002100 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 100211002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119656320672).
100211002100 is an abundant number, since it is smaller than the sum of its proper divisors (139101639244).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100211002100 is a wasteful number, since it uses less digits than its factorization.
100211002100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10038 (or 10020 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 8.
Adding to 100211002100 its reverse (1200112001), we get a palindrome (101411114101).
It can be divided in two parts, 10021 and 1002100, that multiplied together give a square (10042044100 = 1002102).
The spelling of 100211002100 in words is "one hundred billion, two hundred eleven million, two thousand, one hundred".
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