Search a number
-
+
222112020102201 = 3253465643648013
BaseRepresentation
bin110010100000001001111100…
…000011101111110000111001
31002010102200221120112012211100
4302200021330003233300321
5213103040404121232301
62104220504200122013
764533030626112645
oct6240117403576071
91063380846465740
10222112020102201
11648541a6998a29
1220ab296a166309
1396c20c5999008
143cbc3c9d23c25
151aa299b52e286
hexca027c0efc39

222112020102201 has 12 divisors (see below), whose sum is σ = 326881840905828. Its totient is φ = 145280818179744.

The previous prime is 222112020102157. The next prime is 222112020102221. The reversal of 222112020102201 is 102201020211222.

It is a happy number.

222112020102201 is a `hidden beast` number, since 2 + 221 + 1 + 20 + 201 + 0 + 220 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65873919875625 + 156238100226576 = 8116275^2 + 12499524^2 .

It is not a de Polignac number, because 222112020102201 - 229 = 222111483231289 is a prime.

It is a super-2 number, since 2×2221120201022012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (222112020102221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232821823530 + ... + 232821824483.

It is an arithmetic number, because the mean of its divisors is an integer number (27240153408819).

Almost surely, 2222112020102201 is an apocalyptic number.

It is an amenable number.

222112020102201 is a deficient number, since it is larger than the sum of its proper divisors (104769820803627).

222112020102201 is a wasteful number, since it uses less digits than its factorization.

222112020102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465643648072 (or 465643648069 counting only the distinct ones).

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

Adding to 222112020102201 its reverse (102201020211222), we get a palindrome (324313040313423).

The spelling of 222112020102201 in words is "two hundred twenty-two trillion, one hundred twelve billion, twenty million, one hundred two thousand, two hundred one".

Divisors: 1 3 9 53 159 477 465643648013 1396930944039 4190792832117 24679113344689 74037340034067 222112020102201