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221021220110121 = 32831512063949811
BaseRepresentation
bin110010010000010010000011…
…010011111111111100101001
31001222120102101211220021101200
4302100102003103333330221
5212432202424322010441
62102023425150434413
764361153606135634
oct6220220323777451
91058512354807350
10221021220110121
1164473633817072
1220957487502a09
139643299c2bb12
143c816ac656c1b
151a844085b67b6
hexc904834fff29

221021220110121 has 48 divisors (see below), whose sum is σ = 325397020096512. Its totient is φ = 144537906636000.

The previous prime is 221021220110027. The next prime is 221021220110137. The reversal of 221021220110121 is 121011022120122.

221021220110121 is a `hidden beast` number, since 2 + 210 + 2 + 1 + 220 + 110 + 121 = 666.

221021220110121 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 221021220110121 - 29 = 221021220109609 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 221021220110094 and 221021220110103.

It is not an unprimeable number, because it can be changed into a prime (221021220110521) 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, 232225306 + ... + 233175116.

It is an arithmetic number, because the mean of its divisors is an integer number (6779104585344).

Almost surely, 2221021220110121 is an apocalyptic number.

It is an amenable number.

221021220110121 is a deficient number, since it is larger than the sum of its proper divisors (104375799986391).

221021220110121 is a wasteful number, since it uses less digits than its factorization.

221021220110121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952114 (or 952111 counting only the distinct ones).

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

Adding to 221021220110121 its reverse (121011022120122), we get a palindrome (342032242230243).

The spelling of 221021220110121 in words is "two hundred twenty-one trillion, twenty-one billion, two hundred twenty million, one hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 9 83 151 249 453 747 1359 2063 6189 12533 18567 37599 112797 171229 311513 513687 934539 949811 1541061 2803617 2849433 8548299 25855579 77566737 78834313 143421461 232700211 236502939 430264383 709508817 1290793149 1959460093 5878380279 11903981263 17635140837 35711943789 107135831367 162635187719 295878474043 487905563157 887635422129 1463716689471 2662906266387 24557913345569 73673740036707 221021220110121