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221112020122020 = 223253173875079217
BaseRepresentation
bin110010010001100110100111…
…011010100011100110100100
31001222220002202212010210112100
4302101212213122203212210
5212440144404122401040
62102133243150052100
764400546661405456
oct6221464732434644
91058802685123470
10221112020122020
11644a9098a86a15
1220970ba81aa030
13964ba0a709501
143c85c438c42d6
151a8696ecbdb30
hexc919a76a39a4

221112020122020 has 72 divisors (see below), whose sum is σ = 672822254462904. Its totient is φ = 58777201548288.

The previous prime is 221112020122001. The next prime is 221112020122027. The reversal of 221112020122020 is 20221020211122.

It is a happy number.

221112020122020 is a `hidden beast` number, since 2 + 211 + 12 + 0 + 201 + 220 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21103806956544 + 200008213165476 = 4593888^2 + 14142426^2 .

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 = 221112020121984 and 221112020122002.

It is not an unprimeable number, because it can be changed into a prime (221112020122027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1937482549 + ... + 1937596668.

It is an arithmetic number, because the mean of its divisors is an integer number (9344753534207).

Almost surely, 2221112020122020 is an apocalyptic number.

221112020122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221112020122020 is an abundant number, since it is smaller than the sum of its proper divisors (451710234340884).

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

221112020122020 is a wasteful number, since it uses less digits than its factorization.

221112020122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875079549 (or 3875079544 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221112020122020 its reverse (20221020211122), we get a palindrome (241333040333142).

The spelling of 221112020122020 in words is "two hundred twenty-one trillion, one hundred twelve billion, twenty million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 317 634 951 1268 1585 1902 2853 3170 3804 4755 5706 6340 9510 11412 14265 19020 28530 57060 3875079217 7750158434 11625237651 15500316868 19375396085 23250475302 34875712953 38750792170 46500950604 58126188255 69751425906 77501584340 116252376510 139502851812 174378564765 232504753020 348757129530 697514259060 1228400111789 2456800223578 3685200335367 4913600447156 6142000558945 7370400670734 11055601006101 12284001117890 14740801341468 18426001676835 22111202012202 24568002235780 36852003353670 44222404024404 55278005030505 73704006707340 110556010061010 221112020122020