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20102210020 = 22573137100501
BaseRepresentation
bin10010101110001011…
…110110000111100100
31220212221212002001001
4102232023312013210
5312132131210040
613122420043044
71311102652204
oct225613660744
956787762031
1020102210020
11858619aa12
123a90233484
131b84913339
14d89ad0404
157c9c0a59a
hex4ae2f61e4

20102210020 has 48 divisors (see below), whose sum is σ = 43105709808. Its totient is φ = 7872768000.

The previous prime is 20102209991. The next prime is 20102210033. The reversal of 20102210020 is 2001220102.

It can be written as a sum of positive squares in 8 ways, for example, as 654234084 + 19447975936 = 25578^2 + 139456^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20102209979 and 20102210006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149770 + ... + 250270.

It is an arithmetic number, because the mean of its divisors is an integer number (898035621).

Almost surely, 220102210020 is an apocalyptic number.

20102210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102210020 is an abundant number, since it is smaller than the sum of its proper divisors (23003499788).

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

20102210020 is a wasteful number, since it uses less digits than its factorization.

20102210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100720 (or 100718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20102210020 its reverse (2001220102), we get a palindrome (22103430122).

The spelling of 20102210020 in words is "twenty billion, one hundred two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 73 137 146 274 292 365 548 685 730 1370 1460 2740 10001 20002 40004 50005 100010 100501 200020 201002 402004 502505 1005010 2010020 7336573 13768637 14673146 27537274 29346292 36682865 55074548 68843185 73365730 137686370 146731460 275372740 1005110501 2010221002 4020442004 5025552505 10051105010 20102210020