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221211111011220 = 2232511111722783339
BaseRepresentation
bin110010010011000010111001…
…101100010011001110010100
31002000020120112200010112012200
4302103002321230103032110
5212443310323404324340
62102250551555444500
764410655356151251
oct6223027154231624
91060216480115180
10221211111011220
1164537118227680
12209882415b6730
13965816ca82665
143c8a963cd6428
151a8931e2cc330
hexc930b9b13394

221211111011220 has 72 divisors (see below), whose sum is σ = 732007676443680. Its totient is φ = 53626936002240.

The previous prime is 221211111011201. The next prime is 221211111011249. The reversal of 221211111011220 is 22110111112122.

It is a happy number.

221211111011220 is a `hidden beast` number, since 2 + 212 + 111 + 110 + 11 + 220 = 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 = 221211111011193 and 221211111011202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55861389690 + ... + 55861393649.

It is an arithmetic number, because the mean of its divisors is an integer number (10166773283940).

Almost surely, 2221211111011220 is an apocalyptic number.

221211111011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221211111011220 is an abundant number, since it is smaller than the sum of its proper divisors (510796565432460).

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

221211111011220 is a wasteful number, since it uses less digits than its factorization.

221211111011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111722783365 (or 111722783360 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 221211111011220 its reverse (22110111112122), we get a palindrome (243321222123342).

The spelling of 221211111011220 in words is "two hundred twenty-one trillion, two hundred eleven billion, one hundred eleven million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 111722783339 223445566678 335168350017 446891133356 558613916695 670336700034 1005505050051 1117227833390 1228950616729 1340673400068 1675841750085 2011010100102 2234455666780 2457901233458 3351683500170 3686851850187 4022020200204 4915802466916 5027525250255 6144753083645 6703367000340 7373703700374 10055050500510 11060555550561 12289506167290 14747407400748 18434259250935 20110101001020 22121111101122 24579012334580 36868518501870 44242222202244 55302777752805 73737037003740 110605555505610 221211111011220