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221212342001430 = 232513672821945937
BaseRepresentation
bin110010010011000100000011…
…000100001001111100010110
31002000020200201110110022022200
4302103010003010021330112
5212443320334023021210
62102251314052105330
764411031024331063
oct6223040304117426
91060220643408280
10221212342001430
116453769a07a85a
1220988525905246
139658307b07730
143c8aa3d5b1c6a
151a893923da0c0
hexc93103109f16

221212342001430 has 96 divisors (see below), whose sum is σ = 628639252716384. Its totient is φ = 53639548351488.

The previous prime is 221212342001393. The next prime is 221212342001549. The reversal of 221212342001430 is 34100243212122.

221212342001430 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 1 + 23 + 4 + 200 + 1 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 221212342001394 and 221212342001403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1410894579 + ... + 1411051358.

It is an arithmetic number, because the mean of its divisors is an integer number (6548325549129).

Almost surely, 2221212342001430 is an apocalyptic number.

221212342001430 is an abundant number, since it is smaller than the sum of its proper divisors (407426910714954).

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

221212342001430 is a wasteful number, since it uses less digits than its factorization.

221212342001430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821946030 (or 2821946027 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 221212342001430 its reverse (34100243212122), we get a palindrome (255312585213552).

The spelling of 221212342001430 in words is "two hundred twenty-one trillion, two hundred twelve billion, three hundred forty-two million, one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 67 78 90 117 130 134 195 201 234 335 390 402 585 603 670 871 1005 1170 1206 1742 2010 2613 3015 4355 5226 6030 7839 8710 13065 15678 26130 39195 78390 2821945937 5643891874 8465837811 14109729685 16931675622 25397513433 28219459370 36685297181 42329189055 50795026866 73370594362 84658378110 110055891543 126987567165 183426485905 189070377779 220111783086 253975134330 330167674629 366852971810 378140755558 550279457715 567211133337 660335349258 945351888895 1100558915430 1134422266674 1650838373145 1701633400011 1890703777790 2457914911127 2836055666685 3301676746290 3403266800022 4915829822254 5672111333370 7373744733381 8508167000055 12289574555635 14747489466762 17016334000110 22121234200143 24579149111270 36868723666905 44242468400286 73737447333810 110606171000715 221212342001430