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10022100020 = 225501105001
BaseRepresentation
bin10010101010101110…
…10001110000110100
3221212110100102122122
421111113101300310
5131011124200040
64334252215112
7503233305332
oct112527216064
927773312578
1010022100020
11428323a099
121b3846a498
13c394576ca
146b1076b52
153d9cc61b5
hex2555d1c34

10022100020 has 12 divisors (see below), whose sum is σ = 21046410084. Its totient is φ = 4008840000.

The previous prime is 10022100007. The next prime is 10022100059. The reversal of 10022100020 is 2000122001.

It can be written as a sum of positive squares in 2 ways, for example, as 5531491876 + 4490608144 = 74374^2 + 67012^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10022099980 and 10022100007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250552481 + ... + 250552520.

It is an arithmetic number, because the mean of its divisors is an integer number (1753867507).

Almost surely, 210022100020 is an apocalyptic number.

10022100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022100020 is an abundant number, since it is smaller than the sum of its proper divisors (11024310064).

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

10022100020 is a wasteful number, since it uses less digits than its factorization.

10022100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501105010 (or 501105008 counting only the distinct ones).

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

Adding to 10022100020 its reverse (2000122001), we get a palindrome (12022222021).

The spelling of 10022100020 in words is "ten billion, twenty-two million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 501105001 1002210002 2004420004 2505525005 5011050010 10022100020