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221001212202012 = 223311599310564201
BaseRepresentation
bin110010001111111111011010…
…101111111000110000011100
31001222111111202110111020021000
4302033333122233320300130
5212431340440310431022
62102010315535510300
764356545026544214
oct6217773257706034
91058444673436230
10221001212202012
11644660a6886620
1220953622988390
13964142ba15838
143c807312b3244
151a83b36cd76ac
hexc8ffdabf8c1c

221001212202012 has 96 divisors (see below), whose sum is σ = 626097431232000. Its totient is φ = 66858260976000.

The previous prime is 221001212201941. The next prime is 221001212202037. The reversal of 221001212202012 is 210202212100122.

It is a happy number.

221001212202012 is a `hidden beast` number, since 22 + 100 + 121 + 220 + 201 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154570489 + ... + 155993712.

It is an arithmetic number, because the mean of its divisors is an integer number (6521848242000).

Almost surely, 2221001212202012 is an apocalyptic number.

221001212202012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221001212202012 is an abundant number, since it is smaller than the sum of its proper divisors (405096219029988).

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

221001212202012 is a wasteful number, since it uses less digits than its factorization.

221001212202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310564824 (or 310564816 counting only the distinct ones).

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

Adding to 221001212202012 its reverse (210202212100122), we get a palindrome (431203424302134).

The spelling of 221001212202012 in words is "two hundred twenty-one trillion, one billion, two hundred twelve million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 599 1188 1198 1797 2396 3594 5391 6589 7188 10782 13178 16173 19767 21564 26356 32346 39534 59301 64692 79068 118602 177903 237204 355806 711612 310564201 621128402 931692603 1242256804 1863385206 2795077809 3416206211 3726770412 5590155618 6832412422 8385233427 10248618633 11180311236 13664824844 16770466854 20497237266 30745855899 33540933708 40994474532 61491711798 92237567697 122983423596 184475135394 186027956399 368950270788 372055912798 558083869197 744111825596 1116167738394 1674251607591 2046307520389 2232335476788 3348503215182 4092615040778 5022754822773 6138922561167 6697006430364 8185230081556 10045509645546 12277845122334 18416767683501 20091019291092 24555690244668 36833535367002 55250303050503 73667070734004 110500606101006 221001212202012