Base | Representation |
---|---|
bin | 101110100100110111… |
… | …0100110010101010010 |
3 | 100120011122112102110200 |
4 | 1131021232212111102 |
5 | 3114320411401320 |
6 | 113541001240030 |
7 | 10140422113461 |
oct | 1351156462522 |
9 | 316148472420 |
10 | 100021200210 |
11 | 394673a6138 |
12 | 17474a93016 |
13 | 9580023249 |
14 | 4babbbc9d8 |
15 | 2906026290 |
hex | 1749ba6552 |
100021200210 has 48 divisors (see below), whose sum is σ = 262440973080. Its totient is φ = 26427617280.
The previous prime is 100021200157. The next prime is 100021200211. The reversal of 100021200210 is 12002120001.
It can be written as a sum of positive squares in 4 ways, for example, as 84529166121 + 15492034089 = 290739^2 + 124467^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 100021200192 and 100021200201.
It is not an unprimeable number, because it can be changed into a prime (100021200211) 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 23 ways as a sum of consecutive naturals, for example, 5088111 + ... + 5107730.
Almost surely, 2100021200210 is an apocalyptic number.
100021200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
100021200210 is an abundant number, since it is smaller than the sum of its proper divisors (162419772870).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100021200210 is a wasteful number, since it uses less digits than its factorization.
100021200210 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10195963 (or 10195960 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 100021200210 its reverse (12002120001), we get a palindrome (112023320211).
The spelling of 100021200210 in words is "one hundred billion, twenty-one million, two hundred thousand, two hundred ten".
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