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211042132022241 = 3313601259635391
BaseRepresentation
bin101111111111000100010011…
…010011111101001111100001
31000200020102122001010020002000
4233333010103103331033201
5210130203241244202431
62024503230024314213
762311201525006212
oct5777042323751741
91020212561106060
10211042132022241
1161276513740153
121b805467012969
13909b2593858c0
143a186ca98b409
15195ea544c09e6
hexbff1134fd3e1

211042132022241 has 16 divisors (see below), whose sum is σ = 336705395819520. Its totient is φ = 129872081244240.

The previous prime is 211042132022171. The next prime is 211042132022263. The reversal of 211042132022241 is 142220231240112.

211042132022241 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 4 + 213 + 202 + 2 + 241 = 666.

It is not a de Polignac number, because 211042132022241 - 211 = 211042132020193 is a prime.

It is a super-2 number, since 2×2110421320222412 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (211042132022291) 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 15 ways as a sum of consecutive naturals, for example, 300629817345 + ... + 300629818046.

It is an arithmetic number, because the mean of its divisors is an integer number (21044087238720).

Almost surely, 2211042132022241 is an apocalyptic number.

It is an amenable number.

211042132022241 is a deficient number, since it is larger than the sum of its proper divisors (125663263797279).

211042132022241 is a wasteful number, since it uses less digits than its factorization.

211042132022241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601259635413 (or 601259635407 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 211042132022241 its reverse (142220231240112), we get a palindrome (353262363262353).

The spelling of 211042132022241 in words is "two hundred eleven trillion, forty-two billion, one hundred thirty-two million, twenty-two thousand, two hundred forty-one".

Divisors: 1 3 9 13 27 39 117 351 601259635391 1803778906173 5411336718519 7816375260083 16234010155557 23449125780249 70347377340747 211042132022241