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221121020122020 = 223251228450111789
BaseRepresentation
bin110010010001101110111111…
…110110110101001110100100
31001222220222000002020011112200
4302101232333312311032210
5212440321322122401040
62102141332211214500
764401316004216514
oct6221567766651644
91058828002204480
10221121020122020
1164501997278147
122097289a2a7430
13964c8131897b5
143c86458cd9844
151a86ce9e9a630
hexc91bbfdb53a4

221121020122020 has 36 divisors (see below), whose sum is σ = 670733761037340. Its totient is φ = 58965605365824.

The previous prime is 221121020121979. The next prime is 221121020122049. The reversal of 221121020122020 is 20221020121122.

It is a happy number.

221121020122020 is a `hidden beast` number, since 2 + 2 + 11 + 210 + 201 + 220 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34799994319104 + 186321025802916 = 5899152^2 + 13649946^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 221121020121984 and 221121020122002.

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, 614225055715 + ... + 614225056074.

Almost surely, 2221121020122020 is an apocalyptic number.

221121020122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221121020122020 is an abundant number, since it is smaller than the sum of its proper divisors (449612740915320).

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

221121020122020 is a wasteful number, since it uses less digits than its factorization.

221121020122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228450111804 (or 1228450111799 counting only the distinct ones).

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

Adding to 221121020122020 its reverse (20221020121122), we get a palindrome (241342040243142).

The spelling of 221121020122020 in words is "two hundred twenty-one trillion, one hundred twenty-one 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 1228450111789 2456900223578 3685350335367 4913800447156 6142250558945 7370700670734 11056051006101 12284501117890 14741401341468 18426751676835 22112102012202 24569002235780 36853503353670 44224204024404 55280255030505 73707006707340 110560510061010 221121020122020