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201120212221011 = 3217291011471305093
BaseRepresentation
bin101101101110101011110010…
…110011100111110001010011
3222101002220102101120001001100
4231232223302303213301103
5202330123143312033021
61551425203333035443
760235312230143226
oct5556536263476123
9871086371501040
10201120212221011
11590a066a673126
121a682540185b83
13882b7296b7835
1437943ad6575bd
15183b8e922b626
hexb6eaf2ce7c53

201120212221011 has 96 divisors (see below), whose sum is σ = 321572395422720. Its totient is φ = 120552832512000.

The previous prime is 201120212220989. The next prime is 201120212221063. The reversal of 201120212221011 is 110122212021102.

201120212221011 is a `hidden beast` number, since 201 + 1 + 20 + 212 + 221 + 0 + 11 = 666.

It is not a de Polignac number, because 201120212221011 - 27 = 201120212220883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201120212221081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 659056981 + ... + 659362073.

It is an arithmetic number, because the mean of its divisors is an integer number (3349712452320).

Almost surely, 2201120212221011 is an apocalyptic number.

201120212221011 is a deficient number, since it is larger than the sum of its proper divisors (120452183201709).

201120212221011 is a wasteful number, since it uses less digits than its factorization.

201120212221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306717 (or 306714 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201120212221011 its reverse (110122212021102), we get a palindrome (311242424242113).

The spelling of 201120212221011 in words is "two hundred one trillion, one hundred twenty billion, two hundred twelve million, two hundred twenty-one thousand, eleven".

Divisors: 1 3 9 17 29 51 87 101 153 261 303 493 909 1471 1479 1717 2929 4413 4437 5151 8787 13239 15453 25007 26361 42659 49793 75021 127977 148571 149379 225063 305093 383931 445713 448137 725203 915279 1337139 2175609 2525707 2745837 4308559 5186581 6526827 7577121 8847697 12925677 15559743 22731363 26543091 30814393 38777031 46679229 73245503 79629273 92443179 150410849 219736509 277329537 448791803 451232547 523844681 659209527 893617397 1346375409 1353697641 1571534043 2680852191 4039126227 4714602129 7629460651 8042556573 13014962287 15191495749 22888381953 39044886861 45327972103 45574487247 68665145859 117134660583 135983916309 136723461741 221254358879 407951748927 663763076637 770575525751 1314511190987 1991289229911 2311726577253 3943533572961 6935179731759 11830600718883 22346690246779 67040070740337 201120212221011