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221002101220104 = 23331229832512511
BaseRepresentation
bin110010010000000000001111…
…101111001110001100001000
31001222111121001102100000211000
4302100000033233032030020
5212431344300403020404
62102010544054335000
764356606043223541
oct6220001757161410
91058447042300730
10221002101220104
1164466512698016
122095383065a460
139641540c65749
143c807b73b14c8
151a83b89d95339
hexc9000fbce308

221002101220104 has 64 divisors (see below), whose sum is σ = 614394233856000. Its totient is φ = 73607426084160.

The previous prime is 221002101220091. The next prime is 221002101220163. The reversal of 221002101220104 is 401022101200122.

221002101220104 is a `hidden beast` number, since 221 + 0 + 0 + 210 + 1 + 220 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415990792 + ... + 416521719.

It is an arithmetic number, because the mean of its divisors is an integer number (9599909904000).

Almost surely, 2221002101220104 is an apocalyptic number.

221002101220104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221002101220104 is an abundant number, since it is smaller than the sum of its proper divisors (393392132635896).

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

221002101220104 is a wasteful number, since it uses less digits than its factorization.

221002101220104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832513755 (or 832513745 counting only the distinct ones).

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

Adding to 221002101220104 its reverse (401022101200122), we get a palindrome (622024202420226).

The spelling of 221002101220104 in words is "two hundred twenty-one trillion, two billion, one hundred one million, two hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1229 2458 3687 4916 7374 9832 11061 14748 22122 29496 33183 44244 66366 88488 132732 265464 832512511 1665025022 2497537533 3330050044 4995075066 6660100088 7492612599 9990150132 14985225198 19980300264 22477837797 29970450396 44955675594 59940900792 89911351188 179822702376 1023157876019 2046315752038 3069473628057 4092631504076 6138947256114 8185263008152 9208420884171 12277894512228 18416841768342 24555789024456 27625262652513 36833683536684 55250525305026 73667367073368 110501050610052 221002101220104