Base | Representation |
---|---|
bin | 10010101010011111… |
… | …10001100111000010 |
3 | 221212022122111211200 |
4 | 21111033301213002 |
5 | 131010123231224 |
6 | 4334142122030 |
7 | 503210504442 |
oct | 112517614702 |
9 | 27768574750 |
10 | 10020133314 |
11 | 4282116514 |
12 | 1b37880316 |
13 | c38c19489 |
14 | 6b0ac4122 |
15 | 3d9a385c9 |
hex | 2553f19c2 |
10020133314 has 12 divisors (see below), whose sum is σ = 21710288886. Its totient is φ = 3340044432.
The previous prime is 10020133309. The next prime is 10020133339. The reversal of 10020133314 is 41333102001.
10020133314 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 only one way, i.e., 8229574089 + 1790559225 = 90717^2 + 42315^2 .
It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 556674073 = 10020133314 / (1 + 0 + 0 + 2 + 0 + 1 + 3 + 3 + 3 + 1 + 4).
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 5 ways as a sum of consecutive naturals, for example, 278337019 + ... + 278337054.
Almost surely, 210020133314 is an apocalyptic number.
10020133314 is an abundant number, since it is smaller than the sum of its proper divisors (11690155572).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10020133314 is a wasteful number, since it uses less digits than its factorization.
10020133314 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 556674081 (or 556674078 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 10020133314 its reverse (41333102001), we get a palindrome (51353235315).
The spelling of 10020133314 in words is "ten billion, twenty million, one hundred thirty-three thousand, three hundred fourteen".
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