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113332221 = 3237340337
BaseRepresentation
bin1101100000101…
…00111111111101
321220020212120200
412300110333331
5213003112341
615125034113
72544210432
oct660247775
9256225520
10113332221
1158a781a2
1231b55939
131a630cb2
14110a1b89
159e39db6
hex6c14ffd

113332221 has 12 divisors (see below), whose sum is σ = 168126972. Its totient is φ = 73512576.

The previous prime is 113332211. The next prime is 113332229. The reversal of 113332221 is 122233311.

113332221 is a `hidden beast` number, since 113 + 332 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39200121 + 74132100 = 6261^2 + 8610^2 .

It is not a de Polignac number, because 113332221 - 26 = 113332157 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113332194 and 113332203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113332229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169836 + ... + 170501.

It is an arithmetic number, because the mean of its divisors is an integer number (14010581).

Almost surely, 2113332221 is an apocalyptic number.

It is an amenable number.

113332221 is a deficient number, since it is larger than the sum of its proper divisors (54794751).

113332221 is a wasteful number, since it uses less digits than its factorization.

113332221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340380 (or 340377 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 113332221 is about 10645.7607055579. The cubic root of 113332221 is about 483.9321402140.

Adding to 113332221 its reverse (122233311), we get a palindrome (235565532).

The spelling of 113332221 in words is "one hundred thirteen million, three hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 333 340337 1021011 3063033 12592469 37777407 113332221