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221042514431420 = 2251137263103251331
BaseRepresentation
bin110010010000100101111000…
…100011011000110110111100
31001222122110100212220212200022
4302100211320203120312330
5212433030032143301140
62102041310153551312
764362536365652213
oct6220457043306674
91058573325825608
10221042514431420
1164481670914910
122095b62aa15538
1396452b1803a36
143c8272c7c207a
151a84c52ca00b5
hexc909788d8dbc

221042514431420 has 96 divisors (see below), whose sum is σ = 522051950762496. Its totient is φ = 77909323564800.

The previous prime is 221042514431381. The next prime is 221042514431461. The reversal of 221042514431420 is 24134415240122.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 49484846 + ... + 53766485.

It is an arithmetic number, because the mean of its divisors is an integer number (5438041153776).

Almost surely, 2221042514431420 is an apocalyptic number.

221042514431420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221042514431420 is an abundant number, since it is smaller than the sum of its proper divisors (301009436331076).

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

221042514431420 is a wasteful number, since it uses less digits than its factorization.

221042514431420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103251651 (or 103251649 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 221042514431420 its reverse (24134415240122), we get a palindrome (245176929671542).

The spelling of 221042514431420 in words is "two hundred twenty-one trillion, forty-two billion, five hundred fourteen million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 263 370 407 526 740 814 1052 1315 1628 2035 2630 2893 4070 5260 5786 8140 9731 11572 14465 19462 28930 38924 48655 57860 97310 107041 194620 214082 428164 535205 1070410 2140820 103251331 206502662 413005324 516256655 1032513310 1135764641 2065026620 2271529282 3820299247 4543058564 5678823205 7640598494 11357646410 15281196988 19101496235 22715292820 27155100053 38202992470 42023291717 54310200106 76405984940 84046583434 108620400212 135775500265 168093166868 210116458585 271551000530 298706100583 420232917170 543102001060 597412201166 840465834340 1004738701961 1194824402332 1493530502915 2009477403922 2987061005830 4018954807844 5023693509805 5974122011660 10047387019610 11052125721571 20094774039220 22104251443142 44208502886284 55260628607855 110521257215710 221042514431420