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2022212212100 = 2252120349168029
BaseRepresentation
bin11101011011010101001…
…111011001010110000100
321011022200110001010201022
4131123111033121112010
5231112442311241400
64144554053450312
7266046206122643
oct35332517312604
97138613033638
102022212212100
1170a685090573
12287b02940998
13118903358042
146dc388b135a
1537908078b85
hex1d6d53d9584

2022212212100 has 36 divisors (see below), whose sum is σ = 4388263078500. Its totient is φ = 808873349760.

The previous prime is 2022212212079. The next prime is 2022212212121. The reversal of 2022212212100 is 12122122202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2022212212079) and next prime (2022212212121).

It can be written as a sum of positive squares in 6 ways, for example, as 19234361344 + 2002977850756 = 138688^2 + 1415266^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11950886 + ... + 12118914.

It is an arithmetic number, because the mean of its divisors is an integer number (121896196625).

Almost surely, 22022212212100 is an apocalyptic number.

2022212212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022212212100 is an abundant number, since it is smaller than the sum of its proper divisors (2366050866400).

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

2022212212100 is a wasteful number, since it uses less digits than its factorization.

2022212212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288392 (or 288385 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2022212212100 its reverse (12122122202), we get a palindrome (2034334334302).

The spelling of 2022212212100 in words is "two trillion, twenty-two billion, two hundred twelve million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 120349 168029 240698 336058 481396 601745 672116 840145 1203490 1680290 2406980 3008725 3360580 4200725 6017450 8401450 12034900 16802900 20222122121 40444244242 80888488484 101110610605 202221221210 404442442420 505553053025 1011106106050 2022212212100