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211100221122021 = 33711101539307899
BaseRepresentation
bin101111111111111010011001…
…101100010010010111100101
31000200102222120101000020112000
4233333322121230102113211
5210132131223101401041
62024550034111315513
762315326162135230
oct5777723154222745
91020388511006460
10211100221122021
11612991124a7630
121b814778b1bb99
1390a3885c639aa
143a1b43b73a417
1519613040b0bb6
hexbffe99b125e5

211100221122021 has 32 divisors (see below), whose sum is σ = 389910942336000. Its totient is φ = 109662452529840.

The previous prime is 211100221122001. The next prime is 211100221122073. The reversal of 211100221122021 is 120221122001112.

211100221122021 is a `hidden beast` number, since 211 + 1 + 0 + 0 + 2 + 211 + 220 + 21 = 666.

It is not a de Polignac number, because 211100221122021 - 211 = 211100221119973 is a prime.

It is a super-2 number, since 2×2111002211220212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211100221121985 and 211100221122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211100221122001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50769651871 + ... + 50769656028.

It is an arithmetic number, because the mean of its divisors is an integer number (12184716948000).

Almost surely, 2211100221122021 is an apocalyptic number.

211100221122021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211100221122021 is a deficient number, since it is larger than the sum of its proper divisors (178810721213979).

211100221122021 is a wasteful number, since it uses less digits than its factorization.

211100221122021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101539307926 (or 101539307920 counting only the distinct ones).

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

Adding to 211100221122021 its reverse (120221122001112), we get a palindrome (331321343123133).

The spelling of 211100221122021 in words is "two hundred eleven trillion, one hundred billion, two hundred twenty-one million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 101539307899 304617923697 710775155293 913853771091 1116932386889 2132325465879 2741561313273 3350797160667 6396976397637 7818526708223 10052391482001 19190929192911 23455580124669 30157174446003 70366740374007 211100221122021