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202112022020 = 22538928379157
BaseRepresentation
bin1011110000111011010…
…0001011011000000100
3201022200112102112001012
42330032310023120010
511302411134201040
6232503214021352
720413344561416
oct2741664133004
9638615375035
10202112022020
1178795a70647
1233206aa7858
131609ca5904c
149ad47ba9b6
1553cdab3865
hex2f0ed0b604

202112022020 has 48 divisors (see below), whose sum is σ = 425722817520. Its totient is φ = 80599755264.

The previous prime is 202112022019. The next prime is 202112022061. The reversal of 202112022020 is 20220211202.

202112022020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 87176105536 + 114935916484 = 295256^2 + 339022^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202112021986 and 202112022004.

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 15 ways as a sum of consecutive naturals, for example, 22067282 + ... + 22076438.

It is an arithmetic number, because the mean of its divisors is an integer number (8869225365).

Almost surely, 2202112022020 is an apocalyptic number.

202112022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202112022020 is an abundant number, since it is smaller than the sum of its proper divisors (223610795500).

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

202112022020 is a wasteful number, since it uses less digits than its factorization.

202112022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12392 (or 12390 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202112022020 its reverse (20220211202), we get a palindrome (222332233222).

The spelling of 202112022020 in words is "two hundred two billion, one hundred twelve million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 389 778 1556 1945 2837 3890 5674 7780 9157 11348 14185 18314 28370 36628 45785 56740 91570 183140 1103593 2207186 3562073 4414372 5517965 7124146 11035930 14248292 17810365 22071860 25978409 35620730 51956818 71241460 103913636 129892045 259784090 519568180 10105601101 20211202202 40422404404 50528005505 101056011010 202112022020