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111122102020221 = 32577121493176129
BaseRepresentation
bin11001010001000010100001…
…011010101110100001111101
3112120110011120100110111202100
4121101002201122232201331
5104031111031104121341
61032200442224215313
732256210164361045
oct3121024132564175
9476404510414670
10111122102020221
11324526897090a6
121056825b16a539
134a00a0009b8b6
141d624a4944725
15cca81a7453b6
hex6510a16ae87d

111122102020221 has 24 divisors (see below), whose sum is σ = 160790118985080. Its totient is φ = 73951982125056.

The previous prime is 111122102020219. The next prime is 111122102020261. The reversal of 111122102020221 is 122020201221111.

111122102020221 is a `hidden beast` number, since 11 + 11 + 221 + 0 + 202 + 0 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82926320619321 + 28195781400900 = 9106389^2 + 5309970^2 .

It is not a de Polignac number, because 111122102020221 - 21 = 111122102020219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111122102020194 and 111122102020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111122102020261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630825085 + ... + 631001213.

It is an arithmetic number, because the mean of its divisors is an integer number (6699588291045).

Almost surely, 2111122102020221 is an apocalyptic number.

It is an amenable number.

111122102020221 is a deficient number, since it is larger than the sum of its proper divisors (49668016964859).

111122102020221 is a wasteful number, since it uses less digits than its factorization.

111122102020221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298205 (or 298202 counting only the distinct ones).

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

Adding to 111122102020221 its reverse (122020201221111), we get a palindrome (233142303241332).

The spelling of 111122102020221 in words is "one hundred eleven trillion, one hundred twenty-two billion, one hundred two million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 577 1731 5193 121493 176129 364479 528387 1093437 1585161 70101461 101626433 210304383 304879299 630913149 914637897 21398440597 64195321791 192585965373 12346900224469 37040700673407 111122102020221