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10020102021 = 321113344669
BaseRepresentation
bin10010101010011111…
…01001111110000101
3221212022120220220200
421111033221332011
5131010121231041
64334141321113
7503210314266
oct112517517605
927768526820
1010020102021
1142820a4a56
121b37866199
13c38c08167
146b0ab696d
153d9a2e1b6
hex2553e9f85

10020102021 has 6 divisors (see below), whose sum is σ = 14473480710. Its totient is φ = 6680068008.

The previous prime is 10020102017. The next prime is 10020102023. The reversal of 10020102021 is 12020102001.

It can be written as a sum of positive squares in only one way, i.e., 7432853796 + 2587248225 = 86214^2 + 50865^2 .

It is not a de Polignac number, because 10020102021 - 22 = 10020102017 is a prime.

It is a super-2 number, since 2×100201020212 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1113344669 = 10020102021 / (1 + 0 + 0 + 2 + 0 + 1 + 0 + 2 + 0 + 2 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 10020101994 and 10020102012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020102023) 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 5 ways as a sum of consecutive naturals, for example, 556672326 + ... + 556672343.

It is an arithmetic number, because the mean of its divisors is an integer number (2412246785).

Almost surely, 210020102021 is an apocalyptic number.

It is an amenable number.

10020102021 is a deficient number, since it is larger than the sum of its proper divisors (4453378689).

10020102021 is a wasteful number, since it uses less digits than its factorization.

10020102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113344675 (or 1113344672 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10020102021 its reverse (12020102001), we get a palindrome (22040204022).

The spelling of 10020102021 in words is "ten billion, twenty million, one hundred two thousand, twenty-one".

Divisors: 1 3 9 1113344669 3340034007 10020102021