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221220041340102 = 237179211602923131
BaseRepresentation
bin110010010011001011001101…
…111110110011010011000110
31002000021102121001010020102020
4302103023031332303103012
5212443432121040340402
62102255030051424010
764411422564535440
oct6223131576632306
91060242531106366
10221220041340102
116453a990161972
1220989b142b5006
139658c63c7aa2c
143c8b16dd73490
151a896932e58bc
hexc932cdfb34c6

221220041340102 has 128 divisors (see below), whose sum is σ = 510987286425600. Its totient is φ = 62541662198400.

The previous prime is 221220041340101. The next prime is 221220041340121. The reversal of 221220041340102 is 201043140022122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221220041340101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9563779077 + ... + 9563802207.

It is an arithmetic number, because the mean of its divisors is an integer number (3992088175200).

Almost surely, 2221220041340102 is an apocalyptic number.

221220041340102 is an abundant number, since it is smaller than the sum of its proper divisors (289767245085498).

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

221220041340102 is a wasteful number, since it uses less digits than its factorization.

221220041340102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29562.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 221220041340102 its reverse (201043140022122), we get a palindrome (422263181362224).

The spelling of 221220041340102 in words is "two hundred twenty-one trillion, two hundred twenty billion, forty-one million, three hundred forty thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 179 211 358 422 537 633 1074 1253 1266 1477 2506 2954 3759 4431 6029 7518 8862 12058 18087 23131 36174 37769 42203 46262 69393 75538 84406 113307 126609 138786 161917 226614 253218 264383 323834 485751 528766 793149 971502 1079191 1272119 1586298 2158382 2544238 3237573 3816357 4140449 4880641 6475146 7554337 7632714 8280898 8904833 9761282 12421347 14641923 15108674 17809666 22663011 24842694 26714499 28983143 29283846 34164487 45326022 53428998 57966286 68328974 86949429 102493461 139456799 173898858 204986922 227709301 278913598 418370397 455418602 683127903 836740794 873634739 976197593 1366255806 1593965107 1747269478 1952395186 2620904217 2928592779 3187930214 4781895321 5241808434 5857185558 6115443173 9563790642 12230886346 18346329519 24962767021 29425384589 36692659038 49925534042 58850769178 74888301063 88276153767 149776602126 174739369147 176552307534 205977692123 349478738294 411955384246 524218107441 617933076369 1048436214882 1235866152738 5267143841431 10534287682862 15801431524293 31602863048586 36870006890017 73740013780034 110610020670051 221220041340102