Base | Representation |
---|---|
bin | 11000000111101… |
… | …00111111110100 |
3 | 112002201102201102 |
4 | 30003310333310 |
5 | 403244030400 |
6 | 32024345232 |
7 | 5004530450 |
oct | 1403647764 |
9 | 462642642 |
10 | 202330100 |
11 | a4234665 |
12 | 57915218 |
13 | 32bc1a6b |
14 | 1cc2b660 |
15 | 12b699d5 |
hex | c0f4ff4 |
202330100 has 72 divisors (see below), whose sum is σ = 519133440. Its totient is φ = 66971520.
The previous prime is 202330099. The next prime is 202330109. The reversal of 202330100 is 1033202.
202330100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (202330109) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15317 + ... + 25283.
Almost surely, 2202330100 is an apocalyptic number.
202330100 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 202330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259566720).
202330100 is an abundant number, since it is smaller than the sum of its proper divisors (316803340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202330100 is a wasteful number, since it uses less digits than its factorization.
202330100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10017 (or 10010 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 11.
The square root of 202330100 is about 14224.2785405798. The cubic root of 202330100 is about 587.0658691091.
Adding to 202330100 its reverse (1033202), we get a palindrome (203363302).
It can be divided in two parts, 2023 and 30100, that added together give a palindrome (32123).
The spelling of 202330100 in words is "two hundred two million, three hundred thirty thousand, one hundred".
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