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221021113414023 = 321367199577924517
BaseRepresentation
bin110010010000010001111100…
…111100111111000110000111
31001222120102010102010112212100
4302100101330330333012013
5212432202220013222043
62102023410415523143
764361151142214406
oct6220217474770607
91058512112115770
10221021113414023
116447358957177a
12209574578294b3
139643280ab2530
143c8169c40163d
151a843ee03ccd3
hexc9047cf3f187

221021113414023 has 96 divisors (see below), whose sum is σ = 350770591808000. Its totient is φ = 133281162609408.

The previous prime is 221021113414009. The next prime is 221021113414033. The reversal of 221021113414023 is 320414311120122.

221021113414023 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 211 + 1 + 3 + 41 + 402 + 3 = 666.

It is not a de Polignac number, because 221021113414023 - 29 = 221021113413511 is a prime.

It is a super-2 number, since 2×2210211134140232 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221021113414033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9015002361 + ... + 9015026877.

Almost surely, 2221021113414023 is an apocalyptic number.

221021113414023 is a deficient number, since it is larger than the sum of its proper divisors (129749478393977).

221021113414023 is a wasteful number, since it uses less digits than its factorization.

221021113414023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30581 (or 30578 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 221021113414023 its reverse (320414311120122), we get a palindrome (541435424534145).

The spelling of 221021113414023 in words is "two hundred twenty-one trillion, twenty-one billion, one hundred thirteen million, four hundred fourteen thousand, twenty-three".

Divisors: 1 3 9 13 39 67 117 199 201 597 603 871 1791 2587 2613 5779 7761 7839 13333 17337 23283 24517 39999 52011 73551 75127 119997 173329 220653 225381 318721 387193 519987 676143 956163 1150021 1161579 1559961 1642639 2868489 3450063 3484737 4878883 4927917 5033509 10350189 14636649 14783751 14950273 15100527 21354307 43909947 44850819 45301581 63425479 64062921 77051407 134552457 141683743 190276437 192188763 231154221 326885161 425051229 570829311 693462663 980655483 1001668291 1275153687 1841888659 2941966449 3005004873 4249507093 5525665977 9015014619 9492810781 12748521279 16576997931 28195064857 28478432343 38245563837 84585194571 85435297029 123406540153 253755583713 366535843141 370219620459 1099607529423 1110658861377 1889069345419 3298822588269 5667208036257 17001624108771 24557901490447 73673704471341 221021113414023