Search a number
-
+
221220120010122 = 232101121683234329
BaseRepresentation
bin110010010011001011010010…
…101010111001110110001010
31002000021102210112011002101200
4302103023102222321312022
5212443432301210310442
62102255041541525030
764411424541322212
oct6223132252716612
91060242715132350
10221220120010122
116453aa20604912
1220989b36713776
139658c7736393c
143c8b17a5b1242
151a8969a18534c
hexc932d2ab9d8a

221220120010122 has 24 divisors (see below), whose sum is σ = 484055906164740. Its totient is φ = 73009940596800.

The previous prime is 221220120010117. The next prime is 221220120010133. The reversal of 221220120010122 is 221010021022122.

It is a happy number.

221220120010122 is a `hidden beast` number, since 221 + 220 + 1 + 200 + 1 + 0 + 1 + 22 = 666.

221220120010122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 133581145868361 + 87638974141761 = 11557731^2 + 9361569^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221220120010095 and 221220120010104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60841615347 + ... + 60841618982.

Almost surely, 2221220120010122 is an apocalyptic number.

221220120010122 is an abundant number, since it is smaller than the sum of its proper divisors (262835786154618).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221220120010122 is a wasteful number, since it uses less digits than its factorization.

221220120010122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121683234438 (or 121683234435 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221220120010122 its reverse (221010021022122), we get a palindrome (442230141032244).

The spelling of 221220120010122 in words is "two hundred twenty-one trillion, two hundred twenty billion, one hundred twenty million, ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 121683234329 243366468658 365049702987 730099405974 1095149108961 2190298217922 12290006667229 24580013334458 36870020001687 73740040003374 110610060005061 221220120010122