Base | Representation |
---|---|
bin | 10010101000010110… |
… | …11110101101010100 |
3 | 221211001221221020200 |
4 | 21110023132231110 |
5 | 130441032330400 |
6 | 4332302300500 |
7 | 502602360462 |
oct | 112413365524 |
9 | 27731857220 |
10 | 10002230100 |
11 | 4272aa8575 |
12 | 1b31887730 |
13 | c352bb565 |
14 | 6ac583832 |
15 | 3d819db00 |
hex | 2542deb54 |
10002230100 has 54 divisors (see below), whose sum is σ = 31351437390. Its totient is φ = 2667261120.
The previous prime is 10002230093. The next prime is 10002230131. The reversal of 10002230100 is 103220001.
It is a happy number.
10002230100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 3 ways, for example, as 391564944 + 9610665156 = 19788^2 + 98034^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5555895 + ... + 5557694.
Almost surely, 210002230100 is an apocalyptic number.
10002230100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
10002230100 is an abundant number, since it is smaller than the sum of its proper divisors (21349207290).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10002230100 is a wasteful number, since it uses less digits than its factorization.
10002230100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11113609 (or 11113599 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
Adding to 10002230100 its reverse (103220001), we get a palindrome (10105450101).
The spelling of 10002230100 in words is "ten billion, two million, two hundred thirty thousand, one hundred".
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