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211102111022121 = 3311887801332039
BaseRepresentation
bin101111111111111100001010…
…010101101011110000101001
31000200110011110002012010002000
4233333330022111223300221
5210132144110410201441
62024550545422401213
762315424051051114
oct5777741225536051
91020404402163060
10211102111022121
11612999a2284540
121b815005a30209
1390a3ac766c387
143a1b57a73557b
1519613b4e762b6
hexbfff0a56bc29

211102111022121 has 32 divisors (see below), whose sum is σ = 341559768729600. Its totient is φ = 127796433420240.

The previous prime is 211102111022093. The next prime is 211102111022171. The reversal of 211102111022121 is 121220111201112.

It is a happy number.

211102111022121 is a `hidden beast` number, since 211 + 1 + 0 + 211 + 1 + 0 + 221 + 21 = 666.

It is not a de Polignac number, because 211102111022121 - 29 = 211102111021609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211102111022094 and 211102111022103.

It is not an unprimeable number, because it can be changed into a prime (211102111022171) 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 31 ways as a sum of consecutive naturals, for example, 400402581 + ... + 400929458.

It is an arithmetic number, because the mean of its divisors is an integer number (10673742772800).

Almost surely, 2211102111022121 is an apocalyptic number.

It is an amenable number.

211102111022121 is a deficient number, since it is larger than the sum of its proper divisors (130457657707479).

211102111022121 is a wasteful number, since it uses less digits than its factorization.

211102111022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801332946 (or 801332940 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211102111022121 its reverse (121220111201112), we get a palindrome (332322222223233).

The spelling of 211102111022121 in words is "two hundred eleven trillion, one hundred two billion, one hundred eleven million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 297 887 2661 7983 9757 23949 29271 87813 263439 801332039 2403996117 7211988351 8814652429 21635965053 26443957287 79331871861 237995615583 710781518593 2132344555779 6397033667337 7818596704523 19191101002011 23455790113569 70367370340707 211102111022121