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221122011220020 = 22335409485205963
BaseRepresentation
bin110010010001101111111010…
…111011100100100000110100
31001222221001120011011011102000
4302101233322323210200310
5212440330334333020040
62102142014414015300
764401352400343201
oct6221577273444064
91058831504134360
10221122011220020
11645023557707a9
1220972b161a7530
13964c9405cab11
143c865107aaca8
151a86d56ebe130
hexc91bfaee4834

221122011220020 has 48 divisors (see below), whose sum is σ = 687935146019520. Its totient is φ = 58965869658528.

The previous prime is 221122011219997. The next prime is 221122011220031. The reversal of 221122011220020 is 20022110221122.

It is a happy number.

221122011220020 is a `hidden beast` number, since 2 + 211 + 220 + 1 + 12 + 200 + 20 = 666.

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 = 221122011219975 and 221122011220002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204742602442 + ... + 204742603521.

It is an arithmetic number, because the mean of its divisors is an integer number (14331982208740).

Almost surely, 2221122011220020 is an apocalyptic number.

221122011220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221122011220020 is an abundant number, since it is smaller than the sum of its proper divisors (466813134799500).

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

221122011220020 is a wasteful number, since it uses less digits than its factorization.

221122011220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409485205981 (or 409485205973 counting only the distinct ones).

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

Adding to 221122011220020 its reverse (20022110221122), we get a palindrome (241144121441142).

The spelling of 221122011220020 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, eleven million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 409485205963 818970411926 1228455617889 1637940823852 2047426029815 2456911235778 3685366853667 4094852059630 4913822471556 6142278089445 7370733707334 8189704119260 11056100561001 12284556178890 14741467414668 18426834268335 22112201122002 24569112357780 36853668536670 44224402244004 55280502805005 73707337073340 110561005610010 221122011220020