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120221220100 = 22524725578983
BaseRepresentation
bin110111111110110111…
…1100011110100000100
3102111022102102202102111
41233331233203310010
53432203113020400
6131121233550404
711454123336652
oct1577557436404
9374272382374
10120221220100
1146a92821053
121b371a15404
13b44bc91237
145b6688ddd2
1531d96023ba
hex1bfdbe3d04

120221220100 has 36 divisors (see below), whose sum is σ = 266430697344. Its totient is φ = 47065326880.

The previous prime is 120221220079. The next prime is 120221220113. The reversal of 120221220100 is 1022122021.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12784792 + ... + 12794191.

It is an arithmetic number, because the mean of its divisors is an integer number (7400852704).

Almost surely, 2120221220100 is an apocalyptic number.

120221220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120221220100 is an abundant number, since it is smaller than the sum of its proper divisors (146209477244).

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

120221220100 is a wasteful number, since it uses less digits than its factorization.

120221220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25579044 (or 25579037 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120221220100 its reverse (1022122021), we get a palindrome (121243342121).

The spelling of 120221220100 in words is "one hundred twenty billion, two hundred twenty-one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2350 4700 25578983 51157966 102315932 127894915 255789830 511579660 639474575 1202212201 1278949150 2404424402 2557898300 4808848804 6011061005 12022122010 24044244020 30055305025 60110610050 120221220100