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221303320422201 = 32173238477596009
BaseRepresentation
bin110010010100011000110001…
…110011010010011100111001
31002000120101112220101221102100
4302110120301303102130321
5213001313200012002301
62102401201503254013
764420431404211243
oct6224306163223471
91060511486357370
10221303320422201
1164572236015956
12209a20962aa309
139663a7654c9c4
143c911d0401093
151a8b9195d4286
hexc94631cd2739

221303320422201 has 24 divisors (see below), whose sum is σ = 321509987028360. Its totient is φ = 146681879129856.

The previous prime is 221303320422181. The next prime is 221303320422287. The reversal of 221303320422201 is 102224023303122.

221303320422201 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 0 + 3 + 32 + 0 + 422 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 125487022005801 + 95816298416400 = 11202099^2 + 9788580^2 .

It is not a de Polignac number, because 221303320422201 - 26 = 221303320422137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221303320420201) 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 23 ways as a sum of consecutive naturals, for example, 371010685 + ... + 371606693.

It is an arithmetic number, because the mean of its divisors is an integer number (13396249459515).

Almost surely, 2221303320422201 is an apocalyptic number.

It is an amenable number.

221303320422201 is a deficient number, since it is larger than the sum of its proper divisors (100206666606159).

221303320422201 is a wasteful number, since it uses less digits than its factorization.

221303320422201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834665 (or 834662 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 221303320422201 its reverse (102224023303122), we get a palindrome (323527343725323).

The spelling of 221303320422201 in words is "two hundred twenty-one trillion, three hundred three billion, three hundred twenty million, four hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 173 519 1557 238477 596009 715431 1788027 2146293 5364081 41256521 103109557 123769563 309328671 371308689 927986013 142134438293 426403314879 1279209944637 24589257824689 73767773474067 221303320422201