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221324121 = 32373671811
BaseRepresentation
bin11010011000100…
…10001101011001
3120102110102121200
431030102031121
5423124332441
633543424413
75325136554
oct1514221531
9512412550
10221324121
11103a280a7
1262155109
1336b12325
142157369b
151466c7b6
hexd312359

221324121 has 24 divisors (see below), whose sum is σ = 329407104. Its totient is φ = 143091360.

The previous prime is 221324119. The next prime is 221324161. The reversal of 221324121 is 121423122.

It is a happy number.

221324121 is a `hidden beast` number, since 221 + 32 + 412 + 1 = 666.

It is not a de Polignac number, because 221324121 - 21 = 221324119 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 221324094 and 221324103.

It is not an unprimeable number, because it can be changed into a prime (221324161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121306 + ... + 123116.

It is an arithmetic number, because the mean of its divisors is an integer number (13725296).

Almost surely, 2221324121 is an apocalyptic number.

It is an amenable number.

221324121 is a deficient number, since it is larger than the sum of its proper divisors (108082983).

221324121 is a wasteful number, since it uses less digits than its factorization.

221324121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221 (or 2218 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 221324121 is about 14876.9661221635. The cubic root of 221324121 is about 604.8897834422.

Adding to 221324121 its reverse (121423122), we get a palindrome (342747243).

Subtracting from 221324121 its reverse (121423122), we obtain a palindrome (99900999).

It can be divided in two parts, 221324 and 121, that added together give a triangular number (221445 = T665).

The spelling of 221324121 in words is "two hundred twenty-one million, three hundred twenty-four thousand, one hundred twenty-one".

Divisors: 1 3 9 37 111 333 367 1101 1811 3303 5433 13579 16299 40737 67007 122211 201021 603063 664637 1993911 5981733 24591569 73774707 221324121