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211221220101201 = 32205633114130633
BaseRepresentation
bin110000000001101011000101…
…110010110000110001010001
31000200212112212222221020211100
4300001223011302300301101
5210141122024321214301
62025121404451335013
762330141511400332
oct6001530562606121
91020775788836740
10211221220101201
1161335464248582
121b8341072b1469
1390b20ca0bb6ab
143a23239606289
151964536ae5286
hexc01ac5cb0c51

211221220101201 has 12 divisors (see below), whose sum is σ = 305098804295428. Its totient is φ = 140813460716544.

The previous prime is 211221220101137. The next prime is 211221220101253. The reversal of 211221220101201 is 102101022122112.

211221220101201 is a `hidden beast` number, since 2 + 11 + 221 + 220 + 10 + 1 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 135020890782801 + 76200329318400 = 11619849^2 + 8729280^2 .

It is not a de Polignac number, because 211221220101201 - 26 = 211221220101137 is a prime.

It is a super-2 number, since 2×2112212201012012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211221220101301) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 55214620 + ... + 58916013.

Almost surely, 2211221220101201 is an apocalyptic number.

It is an amenable number.

211221220101201 is a deficient number, since it is larger than the sum of its proper divisors (93877584194227).

211221220101201 is a wasteful number, since it uses less digits than its factorization.

211221220101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114336272 (or 114336269 counting only the distinct ones).

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

Adding to 211221220101201 its reverse (102101022122112), we get a palindrome (313322242223313).

The spelling of 211221220101201 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twenty million, one hundred one thousand, two hundred one".

Divisors: 1 3 9 205633 616899 1850697 114130633 342391899 1027175697 23469024455689 70407073367067 211221220101201