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2112212110221 = 323111737743427
BaseRepresentation
bin11110101111001001101…
…001110000101110001101
321110220222200201200002100
4132233021221300232031
5234101302300011341
64254200431545313
7305413404463323
oct36571151605615
97426880650070
102112212110221
11744869742064
122a143b68b239
13124247142b25
1474335783d13
1539e243d53b6
hex1ebc9a70b8d

2112212110221 has 24 divisors (see below), whose sum is σ = 3061029875904. Its totient is φ = 1403500527360.

The previous prime is 2112212110207. The next prime is 2112212110241. The reversal of 2112212110221 is 1220112122112.

2112212110221 is a `hidden beast` number, since 2 + 11 + 221 + 211 + 0 + 221 = 666.

It is not a de Polignac number, because 2112212110221 - 26 = 2112212110157 is a prime.

It is a super-2 number, since 2×21122121102212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112212110194 and 2112212110203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112212110241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48616510 + ... + 48659936.

It is an arithmetic number, because the mean of its divisors is an integer number (127542911496).

Almost surely, 22112212110221 is an apocalyptic number.

It is an amenable number.

2112212110221 is a deficient number, since it is larger than the sum of its proper divisors (948817765683).

2112212110221 is a wasteful number, since it uses less digits than its factorization.

2112212110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61121 (or 61118 counting only the distinct ones).

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

Adding to 2112212110221 its reverse (1220112122112), we get a palindrome (3332324232333).

The spelling of 2112212110221 in words is "two trillion, one hundred twelve billion, two hundred twelve million, one hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 9 311 933 2799 17377 43427 52131 130281 156393 390843 5404247 13505797 16212741 40517391 48638223 121552173 754630979 2263892937 6791678811 234690234469 704070703407 2112212110221