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210122112210201 = 32193052940249739
BaseRepresentation
bin101111110001101011011101…
…110110111001010100011001
31000112222110220021112022120200
4233301223131312321110121
5210020120041211211301
62022520433223012413
762154551551434552
oct5761533566712431
91015873807468520
10210122112210201
1160a5131851a254
121b6970a629a109
1390325790a6189
1439c5d70803329
151945b59612c86
hexbf1adddb9519

210122112210201 has 24 divisors (see below), whose sum is σ = 319494386172000. Its totient is φ = 132704352179712.

The previous prime is 210122112210193. The next prime is 210122112210379. The reversal of 210122112210201 is 102012211221012.

210122112210201 is a `hidden beast` number, since 21 + 0 + 1 + 221 + 1 + 221 + 0 + 201 = 666.

It is not a de Polignac number, because 210122112210201 - 23 = 210122112210193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (210122112250201) 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 23 ways as a sum of consecutive naturals, for example, 14904411 + ... + 25345328.

It is an arithmetic number, because the mean of its divisors is an integer number (13312266090500).

Almost surely, 2210122112210201 is an apocalyptic number.

It is an amenable number.

210122112210201 is a deficient number, since it is larger than the sum of its proper divisors (109372273961799).

210122112210201 is a wasteful number, since it uses less digits than its factorization.

210122112210201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40280293 (or 40280290 counting only the distinct ones).

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

Adding to 210122112210201 its reverse (102012211221012), we get a palindrome (312134323431213).

The spelling of 210122112210201 in words is "two hundred ten trillion, one hundred twenty-two billion, one hundred twelve million, two hundred ten thousand, two hundred one".

Divisors: 1 3 9 19 57 171 30529 91587 274761 580051 1740153 5220459 40249739 120749217 362247651 764745041 2294235123 6882705369 1228784281931 3686352845793 11059058537379 23346901356689 70040704070067 210122112210201