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22100120112020 = 22553101320581609
BaseRepresentation
bin1010000011001100101011…
…10011110000101110010100
32220020202021100222000120212
411001212111303300232110
510344042021222041040
6115000353252344552
74440452402314166
oct501462563605624
986222240860525
1022100120112020
117050676721955
12258b199615158
13c440561c0732
14565919ab6936
15284d1c8c6d65
hex141995cf0b94

22100120112020 has 48 divisors (see below), whose sum is σ = 47332598760720. Its totient is φ = 8664692315136.

The previous prime is 22100120112011. The next prime is 22100120112061. The reversal of 22100120112020 is 2021102100122.

It can be written as a sum of positive squares in 8 ways, for example, as 8461664303236 + 13638455808784 = 2908894^2 + 3693028^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22100120111986 and 22100120112004.

It is a congruent number.

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, 9217025 + ... + 11364584.

It is an arithmetic number, because the mean of its divisors is an integer number (986095807515).

Almost surely, 222100120112020 is an apocalyptic number.

22100120112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100120112020 is an abundant number, since it is smaller than the sum of its proper divisors (25232478648700).

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

22100120112020 is a wasteful number, since it uses less digits than its factorization.

22100120112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20582684 (or 20582682 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22100120112020 its reverse (2021102100122), we get a palindrome (24121222212142).

The spelling of 22100120112020 in words is "twenty-two trillion, one hundred billion, one hundred twenty million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1013 1060 2026 4052 5065 10130 20260 53689 107378 214756 268445 536890 1073780 20581609 41163218 82326436 102908045 205816090 411632180 1090825277 2181650554 4363301108 5454126385 10908252770 20849169917 21816505540 41698339834 83396679668 104245849585 208491699170 416983398340 1105006005601 2210012011202 4420024022404 5525030028005 11050060056010 22100120112020