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2210121211221 = 3271129109972693
BaseRepresentation
bin100000001010010101011…
…111010101110101010101
321211021201010222100010100
4200022111133111311111
5242202312012224341
64411152103444313
7315450602221350
oct40122537256525
97737633870110
102210121211221
11782341895860
122b8405156699
1313054b700011
1478d82c47297
153c754ca43b6
hex202957d5d55

2210121211221 has 48 divisors (see below), whose sum is σ = 4117377663360. Its totient is φ = 1108524735360.

The previous prime is 2210121211169. The next prime is 2210121211231. The reversal of 2210121211221 is 1221121210122.

2210121211221 is a `hidden beast` number, since 2 + 210 + 1 + 21 + 211 + 221 = 666.

2210121211221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2210121211221 - 27 = 2210121211093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2210121211194 and 2210121211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210121211231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54966250 + ... + 55006443.

It is an arithmetic number, because the mean of its divisors is an integer number (85778701320).

Almost surely, 22210121211221 is an apocalyptic number.

2210121211221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2210121211221 is a deficient number, since it is larger than the sum of its proper divisors (1907256452139).

2210121211221 is a wasteful number, since it uses less digits than its factorization.

2210121211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109972746 (or 109972743 counting only the distinct ones).

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

Adding to 2210121211221 its reverse (1221121210122), we get a palindrome (3431242421343).

The spelling of 2210121211221 in words is "two trillion, two hundred ten billion, one hundred twenty-one million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 29 33 63 77 87 99 203 231 261 319 609 693 957 1827 2233 2871 6699 20097 109972693 329918079 769808851 989754237 1209699623 2309426553 3189208097 3629098869 6928279659 8467897361 9567624291 10887296607 22324456679 25403692083 28702872873 35081289067 66973370037 76211076249 105243867201 200920110111 245569023469 315731601603 736707070407 2210121211221