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2022100112020 = 225577175225313
BaseRepresentation
bin11101011011001110100…
…011110001001010010100
321011022101122002212022111
4131123032203301022110
5231112230112041040
64144535011040404
7266043345233362
oct35331643611224
97138348085274
102022100112020
1170a62788507a
12287a912a0104
131188b6068b31
146dc27a50632
15378ed2d3dea
hex1d6ce8f1294

2022100112020 has 24 divisors (see below), whose sum is σ = 4253769722664. Its totient is φ = 807438237696.

The previous prime is 2022100112009. The next prime is 2022100112027. The reversal of 2022100112020 is 202110012202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1128689510404 + 893410601616 = 1062398^2 + 945204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022100112027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87601117 + ... + 87624196.

It is an arithmetic number, because the mean of its divisors is an integer number (177240405111).

Almost surely, 22022100112020 is an apocalyptic number.

2022100112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022100112020 is an abundant number, since it is smaller than the sum of its proper divisors (2231669610644).

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

2022100112020 is a wasteful number, since it uses less digits than its factorization.

2022100112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175225899 (or 175225897 counting only the distinct ones).

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

Adding to 2022100112020 its reverse (202110012202), we get a palindrome (2224210124222).

The spelling of 2022100112020 in words is "two trillion, twenty-two billion, one hundred million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 577 1154 2308 2885 5770 11540 175225313 350450626 700901252 876126565 1752253130 3504506260 101105005601 202210011202 404420022404 505525028005 1011050056010 2022100112020