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221211110020 = 225229154931181
BaseRepresentation
bin1100111000000100110…
…1011010101010000100
3210010222120201201100211
43032001031122222010
512111020021010040
6245342321445204
721660550260625
oct3160115325204
9703876651324
10221211110020
11858a69a509a
1236a571a0804
1317b248ab154
14a9c7189a4c
155b4a6c28ea
hex338135aa84

221211110020 has 48 divisors (see below), whose sum is σ = 466888086000. Its totient is φ = 88038351360.

The previous prime is 221211109993. The next prime is 221211110069. The reversal of 221211110020 is 20011112122.

221211110020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 9581668996 + 211629441024 = 97886^2 + 460032^2 .

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, 7078830 + ... + 7110010.

It is an arithmetic number, because the mean of its divisors is an integer number (9726835125).

Almost surely, 2221211110020 is an apocalyptic number.

221211110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221211110020 is an abundant number, since it is smaller than the sum of its proper divisors (245676975980).

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

221211110020 is a wasteful number, since it uses less digits than its factorization.

221211110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32968 (or 32966 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 221211110020 its reverse (20011112122), we get a palindrome (241222222142).

The spelling of 221211110020 in words is "two hundred twenty-one billion, two hundred eleven million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 229 458 916 1145 1549 2290 3098 4580 6196 7745 15490 30980 31181 62362 124724 155905 311810 354721 623620 709442 1418884 1773605 3547210 7094420 7140449 14280898 28561796 35702245 48299369 71404490 96598738 142808980 193197476 241496845 482993690 965987380 11060555501 22121111002 44242222004 55302777505 110605555010 221211110020