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201222021010221 = 3341496736596009
BaseRepresentation
bin101101110000001010100111…
…000101010101001100101101
3222101110122012121202101122000
4231300022213011111030231
5202333310144334311341
61551544041552442513
760245545156443531
oct5560124705251455
9871418177671560
10201222021010221
115912a864016342
121a69a213849439
138838202b73a43
1437992aa9dbbc1
15183e3a71588b6
hexb702a715532d

201222021010221 has 32 divisors (see below), whose sum is σ = 305439082502400. Its totient is φ = 130849758524160.

The previous prime is 201222021010211. The next prime is 201222021010229. The reversal of 201222021010221 is 122010120222102.

It is a happy number.

201222021010221 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 220 + 210 + 10 + 221 = 666.

It is not a de Polignac number, because 201222021010221 - 217 = 201222020879149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201222021010194 and 201222021010203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201222021010229) 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 31 ways as a sum of consecutive naturals, for example, 12799536 + ... + 23796473.

It is an arithmetic number, because the mean of its divisors is an integer number (9544971328200).

Almost surely, 2201222021010221 is an apocalyptic number.

It is an amenable number.

201222021010221 is a deficient number, since it is larger than the sum of its proper divisors (104217061492179).

201222021010221 is a wasteful number, since it uses less digits than its factorization.

201222021010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36601026 (or 36601020 counting only the distinct ones).

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

Adding to 201222021010221 its reverse (122010120222102), we get a palindrome (323232141232323).

The spelling of 201222021010221 in words is "two hundred one trillion, two hundred twenty-two billion, twenty-one million, ten thousand, two hundred twenty-one".

Divisors: 1 3 9 27 41 123 369 1107 4967 14901 44703 134109 203647 610941 1832823 5498469 36596009 109788027 329364081 988092243 1500436369 4501309107 13503927321 40511781963 181772376703 545317130109 1635951390327 4907854170981 7452667444823 22358002334469 67074007003407 201222021010221