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3300131223 = 321942114583
BaseRepresentation
bin1100010010110100…
…0000000110010111
322111222210000222100
43010231000012113
523224313144343
61303245133143
7144531436554
oct30455000627
98458700870
103300131223
111443924484
1278125a1b3
13407929c8c
14234411a2b
15144acb9d3
hexc4b40197

3300131223 has 24 divisors (see below), whose sum is σ = 5020030080. Its totient is φ = 2083343760.

The previous prime is 3300131141. The next prime is 3300131243. The reversal of 3300131223 is 3221310033.

3300131223 is a `hidden beast` number, since 330 + 0 + 1 + 312 + 23 = 666.

It is not a de Polignac number, because 3300131223 - 213 = 3300123031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3300131196 and 3300131205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300131243) 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, 717790 + ... + 722372.

It is an arithmetic number, because the mean of its divisors is an integer number (209167920).

Almost surely, 23300131223 is an apocalyptic number.

3300131223 is a deficient number, since it is larger than the sum of its proper divisors (1719898857).

3300131223 is a wasteful number, since it uses less digits than its factorization.

3300131223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8819 (or 8816 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3300131223 is about 57446.7686036386. The cubic root of 3300131223 is about 1488.8252865843.

Adding to 3300131223 its reverse (3221310033), we get a palindrome (6521441256).

The spelling of 3300131223 in words is "three billion, three hundred million, one hundred thirty-one thousand, two hundred twenty-three".

Divisors: 1 3 9 19 57 171 4211 4583 12633 13749 37899 41247 80009 87077 240027 261231 720081 783693 19299013 57897039 173691117 366681247 1100043741 3300131223