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221211133 = 111331139359
BaseRepresentation
bin11010010111101…
…10100111111101
3120102020200121221
431023312213331
5423112224013
633541153341
75324156263
oct1513664775
9512220557
10221211133
11103960220
12620bb851
1336aa2a80
1421544433
151464908d
hexd2f69fd

221211133 has 32 divisors (see below), whose sum is σ = 270950400. Its totient is φ = 177854400.

The previous prime is 221211127. The next prime is 221211149. The reversal of 221211133 is 331112122.

It is a cyclic number.

It is not a de Polignac number, because 221211133 - 213 = 221202941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221211163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 616008 + ... + 616366.

It is an arithmetic number, because the mean of its divisors is an integer number (8467200).

Almost surely, 2221211133 is an apocalyptic number.

It is an amenable number.

221211133 is a deficient number, since it is larger than the sum of its proper divisors (49739267).

221211133 is a wasteful number, since it uses less digits than its factorization.

221211133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553.

The product of its digits is 72, while the sum is 16.

The square root of 221211133 is about 14873.1682233477. The cubic root of 221211133 is about 604.7868319878.

Adding to 221211133 its reverse (331112122), we get a palindrome (552323255).

The spelling of 221211133 in words is "two hundred twenty-one million, two hundred eleven thousand, one hundred thirty-three".

Divisors: 1 11 13 31 139 143 341 359 403 1529 1807 3949 4309 4433 4667 11129 19877 47399 49901 51337 56017 122419 144677 548911 616187 648713 1546931 1591447 7135843 17016241 20110103 221211133