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211120201222011 = 32671313467770881
BaseRepresentation
bin110000000000001101000000…
…100110010100011101111011
31000200111220010211002111002100
4300000031000212110131323
5210132443133003101021
62025003140450234443
762316634253160504
oct6000150046243573
91020456124074070
10211120201222011
11612a6635774464
121b818614285a23
1390a571b491873
143a1c3b5121bab
151961ac31ea626
hexc0034099477b

211120201222011 has 48 divisors (see below), whose sum is σ = 311955890133888. Its totient is φ = 137547871718400.

The previous prime is 211120201222009. The next prime is 211120201222013. The reversal of 211120201222011 is 110222102021112.

211120201222011 is a `hidden beast` number, since 211 + 1 + 20 + 201 + 2 + 220 + 11 = 666.

It is an interprime number because it is at equal distance from previous prime (211120201222009) and next prime (211120201222013).

It is not a de Polignac number, because 211120201222011 - 21 = 211120201222009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211120201222013) 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 47 ways as a sum of consecutive naturals, for example, 273483291 + ... + 274254171.

It is an arithmetic number, because the mean of its divisors is an integer number (6499081044456).

Almost surely, 2211120201222011 is an apocalyptic number.

211120201222011 is a deficient number, since it is larger than the sum of its proper divisors (100835688911877).

211120201222011 is a wasteful number, since it uses less digits than its factorization.

211120201222011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774552 (or 774549 counting only the distinct ones).

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

Adding to 211120201222011 its reverse (110222102021112), we get a palindrome (321342303243123).

The spelling of 211120201222011 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred one million, two hundred twenty-two thousand, eleven".

Divisors: 1 3 9 67 131 201 393 603 1179 3467 8777 10401 26331 31203 78993 232289 454177 696867 770881 1362531 2090601 2312643 4087593 6937929 30429859 51649027 91289577 100985411 154947081 273868731 302956233 464841243 908868699 2672644427 6766022537 8017933281 20298067611 24053799843 60894202833 179067176609 350116419937 537201529827 1050349259811 1611604589481 3151047779433 23457800135779 70373400407337 211120201222011