Base | Representation |
---|---|
bin | 11000001000001… |
… | …10100100110100 |
3 | 112002212002111002 |
4 | 30010012210310 |
5 | 403303331400 |
6 | 32030102432 |
7 | 5005250405 |
oct | 1404064464 |
9 | 462762432 |
10 | 202402100 |
11 | a428376a |
12 | 5794aa18 |
13 | 32c18774 |
14 | 1cc499ac |
15 | 12b80ed5 |
hex | c106934 |
202402100 has 72 divisors (see below), whose sum is σ = 458304000. Its totient is φ = 77500800.
The previous prime is 202402091. The next prime is 202402111. The reversal of 202402100 is 1204202.
202402100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2024021002 = 81933220168820000, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337601 + ... + 338199.
Almost surely, 2202402100 is an apocalyptic number.
202402100 is a gapful number since it is divisible by the number (20) 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 202402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229152000).
202402100 is an abundant number, since it is smaller than the sum of its proper divisors (255901900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202402100 is a wasteful number, since it uses less digits than its factorization.
202402100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 753 (or 746 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 11.
The square root of 202402100 is about 14226.8091995359. The cubic root of 202402100 is about 587.1354974537.
Adding to 202402100 its reverse (1204202), we get a palindrome (203606302).
The spelling of 202402100 in words is "two hundred two million, four hundred two thousand, one hundred".
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