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211132021100121 = 321115208314022913
BaseRepresentation
bin110000000000011000000001…
…000111100100111001011001
31000200120000122120021111122200
4300000120001013210321121
5210133141334400200441
62025012413403240413
762320533206400522
oct6000300107447131
91020500576244580
10211132021100121
116130065078a870
121b81a972819109
1390a688320bb94
143a1cbb6c53849
151962065c3b7b6
hexc006011e4e59

211132021100121 has 24 divisors (see below), whose sum is σ = 332695093033056. Its totient is φ = 127957950167040.

The previous prime is 211132021100081. The next prime is 211132021100227. The reversal of 211132021100121 is 121001120231112.

It is a happy number.

211132021100121 is a `hidden beast` number, since 2 + 1 + 11 + 320 + 211 + 0 + 0 + 121 = 666.

It is not a de Polignac number, because 211132021100121 - 26 = 211132021100057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211132021100094 and 211132021100103.

It is not an unprimeable number, because it can be changed into a prime (211132021100621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8044761 + ... + 22067673.

It is an arithmetic number, because the mean of its divisors is an integer number (13862295543044).

Almost surely, 2211132021100121 is an apocalyptic number.

It is an amenable number.

211132021100121 is a deficient number, since it is larger than the sum of its proper divisors (121563071932935).

211132021100121 is a wasteful number, since it uses less digits than its factorization.

211132021100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14175013 (or 14175010 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 211132021100121 its reverse (121001120231112), we get a palindrome (332133141331233).

The spelling of 211132021100121 in words is "two hundred eleven trillion, one hundred thirty-two billion, twenty-one million, one hundred thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 152083 456249 1368747 1672913 5018739 14022913 15056217 42068739 126206217 154252043 462756129 1388268387 2132646677779 6397940033337 19193820100011 23459113455569 70377340366707 211132021100121