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221021221002201 = 32292371197165927
BaseRepresentation
bin110010010000010010000011…
…010111011001101111011001
31001222120102101220120121002200
4302100102003113121233121
5212432202430034032301
62102023425221520413
764361153616542514
oct6220220327315731
91058512356517080
10221021221002201
1164473634276324
1220957487873109
13964329a181b89
143c816ac809d7b
151a844086e0c86
hexc904835d9bd9

221021221002201 has 72 divisors (see below), whose sum is σ = 339610972344384. Its totient is φ = 138407829114240.

The previous prime is 221021221002193. The next prime is 221021221002217. The reversal of 221021221002201 is 102200122120122.

It is a happy number.

221021221002201 is a `hidden beast` number, since 2 + 21 + 0 + 212 + 210 + 0 + 220 + 1 = 666.

It is not a de Polignac number, because 221021221002201 - 23 = 221021221002193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221021221002601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3352481500 + ... + 3352547426.

Almost surely, 2221021221002201 is an apocalyptic number.

It is an amenable number.

221021221002201 is a deficient number, since it is larger than the sum of its proper divisors (118589751342183).

221021221002201 is a wasteful number, since it uses less digits than its factorization.

221021221002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77999 (or 77967 counting only the distinct ones).

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

Adding to 221021221002201 its reverse (102200122120122), we get a palindrome (323221343122323).

The spelling of 221021221002201 in words is "two hundred twenty-one trillion, twenty-one billion, two hundred twenty-one million, two thousand, two hundred one".

Divisors: 1 3 9 29 37 87 111 261 333 841 1073 2523 3219 7569 9657 11971 31117 35913 65927 93351 107739 197781 280053 347159 442927 593343 1041477 1328781 1911883 2439299 3124431 3986343 5735649 7317897 10067611 12844883 17206947 21953691 30202833 38534649 55444607 70739671 90608499 115603947 166333821 212219013 372501607 499001463 636657039 789212117 1117504821 2051450459 2367636351 3352514463 6154351377 7102909053 18463054131 22887151393 29200848329 68661454179 87602544987 205984362537 262807634961 663727390397 846824601541 1991182171191 2540473804623 5973546513573 7621421413869 24557913444689 73673740334067 221021221002201