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20212120100 = 22521511338551
BaseRepresentation
bin10010110100101111…
…000111101000100100
31221011121200002022202
4102310233013220210
5312343300320400
613141343514032
71313606120564
oct226457075044
957147602282
1020212120100
11863223aa97
123b00bb8918
131ba16167a3
14d9a540da4
157d46bb4d5
hex4b4bc7a24

20212120100 has 36 divisors (see below), whose sum is σ = 44150799168. Its totient is φ = 8031300000.

The previous prime is 20212120087. The next prime is 20212120151. The reversal of 20212120100 is 102121202.

It is a happy 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 11 ways as a sum of consecutive naturals, for example, 654176 + ... + 684375.

It is an arithmetic number, because the mean of its divisors is an integer number (1226411088).

Almost surely, 220212120100 is an apocalyptic number.

20212120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212120100 is an abundant number, since it is smaller than the sum of its proper divisors (23938679068).

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

20212120100 is a wasteful number, since it uses less digits than its factorization.

20212120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338716 (or 1338709 counting only the distinct ones).

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

Adding to 20212120100 its reverse (102121202), we get a palindrome (20314241302).

The spelling of 20212120100 in words is "twenty billion, two hundred twelve million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 151 302 604 755 1510 3020 3775 7550 15100 1338551 2677102 5354204 6692755 13385510 26771020 33463775 66927550 133855100 202121201 404242402 808484804 1010606005 2021212010 4042424020 5053030025 10106060050 20212120100