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10052228020 = 22531128312637
BaseRepresentation
bin10010101110010100…
…01101001110110100
3221221120001002111111
421113022031032310
5131041332244040
64341250044404
7504050346142
oct112712151664
927846032444
1010052228020
11429924776a
121b46579704
13c42775a23
146b507a592
153dc777dea
hex25728d3b4

10052228020 has 48 divisors (see below), whose sum is σ = 21809346048. Its totient is φ = 3887844480.

The previous prime is 10052228009. The next prime is 10052228057. The reversal of 10052228020 is 2082225001.

10052228020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10052227982 and 10052228000.

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 15 ways as a sum of consecutive naturals, for example, 789142 + ... + 801778.

It is an arithmetic number, because the mean of its divisors is an integer number (454361376).

Almost surely, 210052228020 is an apocalyptic number.

10052228020 is a gapful number since it is divisible by the number (10) 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 10052228020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10904673024).

10052228020 is an abundant number, since it is smaller than the sum of its proper divisors (11757118028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10052228020 is a wasteful number, since it uses less digits than its factorization.

10052228020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13960 (or 13958 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The spelling of 10052228020 in words is "ten billion, fifty-two million, two hundred twenty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1283 2566 5132 6415 12637 12830 25274 25660 39773 50548 63185 79546 126370 159092 198865 252740 391747 397730 783494 795460 1566988 1958735 3917470 7834940 16213271 32426542 64853084 81066355 162132710 324265420 502611401 1005222802 2010445604 2513057005 5026114010 10052228020