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2122222102020 = 22325101116733889
BaseRepresentation
bin11110111000011110010…
…010110110011000000100
321111212211022021221101100
4132320132102312120010
5234232302324231040
64302534012500100
7306216433142016
oct36703622663004
97455738257340
102122222102020
11749036061059
122a3373a7a630
13125180c1b1b7
1474a04d881b6
153a30d0b8b30
hex1ee1e4b6604

2122222102020 has 72 divisors (see below), whose sum is σ = 6501143801880. Its totient is φ = 560322662400.

The previous prime is 2122222102019. The next prime is 2122222102027. The reversal of 2122222102020 is 202012222212.

2122222102020 is a `hidden beast` number, since 21 + 222 + 221 + 0 + 202 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 500618511936 + 1621603590084 = 707544^2 + 1273422^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2122222101984 and 2122222102002.

It is not an unprimeable number, because it can be changed into a prime (2122222102027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58348765 + ... + 58385124.

It is an arithmetic number, because the mean of its divisors is an integer number (90293663915).

Almost surely, 22122222102020 is an apocalyptic number.

2122222102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122222102020 is an abundant number, since it is smaller than the sum of its proper divisors (4378921699860).

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

2122222102020 is a wasteful number, since it uses less digits than its factorization.

2122222102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116734005 (or 116734000 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2122222102020 its reverse (202012222212), we get a palindrome (2324234324232).

The spelling of 2122222102020 in words is "two trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 116733889 233467778 350201667 466935556 583669445 700403334 1050605001 1167338890 1400806668 1751008335 2101210002 2334677780 3502016670 4202420004 5253025005 7004033340 10506050010 11790122789 21012100020 23580245578 35370368367 47160491156 58950613945 70740736734 106111105101 117901227890 141481473468 176851841835 212222210202 235802455780 353703683670 424444420404 530555525505 707407367340 1061111051010 2122222102020