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20012122100 = 2252200121221
BaseRepresentation
bin10010101000110100…
…001011111111110100
31220122200100010122102
4102220310023333310
5311441100401400
613105441121232
71305630142205
oct225064137764
956580303572
1020012122100
11853a359593
123a66029218
131b6c060389
14d7bb5d5ac
157c1d629d5
hex4a8d0bff4

20012122100 has 18 divisors (see below), whose sum is σ = 43426305174. Its totient is φ = 8004848800.

The previous prime is 20012122073. The next prime is 20012122103. The reversal of 20012122100 is 122121002.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2332696804 + 17679425296 = 48298^2 + 132964^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20012122103) 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, 100060511 + ... + 100060710.

Almost surely, 220012122100 is an apocalyptic number.

20012122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20012122100 is an abundant number, since it is smaller than the sum of its proper divisors (23414183074).

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

20012122100 is a wasteful number, since it uses less digits than its factorization.

20012122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200121235 (or 200121228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20012122100 its reverse (122121002), we get a palindrome (20134243102).

The spelling of 20012122100 in words is "twenty billion, twelve million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 200121221 400242442 800484884 1000606105 2001212210 4002424420 5003030525 10006061050 20012122100