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221315133 = 31321133863
BaseRepresentation
bin11010011000100…
…00000000111101
3120102102222021210
431030100000331
5423124041013
633543315033
75325101424
oct1514200075
9512388253
10221315133
11103a21376
126214ba79
1336b0b200
14215702bb
1514669cc3
hexd31003d

221315133 has 24 divisors (see below), whose sum is σ = 322443072. Its totient is φ = 134953728.

The previous prime is 221315117. The next prime is 221315141. The reversal of 221315133 is 331513122.

It is not a de Polignac number, because 221315133 - 24 = 221315117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221315183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55360 + ... + 59222.

It is an arithmetic number, because the mean of its divisors is an integer number (13435128).

Almost surely, 2221315133 is an apocalyptic number.

It is an amenable number.

221315133 is a deficient number, since it is larger than the sum of its proper divisors (101127939).

221315133 is a wasteful number, since it uses less digits than its factorization.

221315133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005 (or 3992 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 221315133 is about 14876.6640413770. The cubic root of 221315133 is about 604.8815951150.

Adding to 221315133 its reverse (331513122), we get a palindrome (552828255).

The spelling of 221315133 in words is "two hundred twenty-one million, three hundred fifteen thousand, one hundred thirty-three".

Divisors: 1 3 13 39 113 169 339 507 1469 3863 4407 11589 19097 50219 57291 150657 436519 652847 1309557 1958541 5674747 17024241 73771711 221315133