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3332122313 = 1314915710957
BaseRepresentation
bin1100011010011100…
…0010011011001001
322121012222100111112
43012213002123021
523311010403223
61310350540105
7145400400212
oct30647023311
98535870445
103332122313
11145a9948a3
1278bb07635
1341144b310
1423877c409
151477ea778
hexc69c26c9

3332122313 has 16 divisors (see below), whose sum is σ = 3635864400. Its totient is φ = 3035425536.

The previous prime is 3332122273. The next prime is 3332122363. The reversal of 3332122313 is 3132212333.

It can be written as a sum of positive squares in 8 ways, for example, as 651678784 + 2680443529 = 25528^2 + 51773^2 .

It is not a de Polignac number, because 3332122313 - 26 = 3332122249 is a prime.

It is a super-2 number, since 2×33321223132 = 22206078217584939938, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3332122363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298631 + ... + 309587.

It is an arithmetic number, because the mean of its divisors is an integer number (227241525).

Almost surely, 23332122313 is an apocalyptic number.

It is an amenable number.

3332122313 is a deficient number, since it is larger than the sum of its proper divisors (303742087).

3332122313 is a wasteful number, since it uses less digits than its factorization.

3332122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11276.

The product of its digits is 1944, while the sum is 23.

The square root of 3332122313 is about 57724.5382224925. The cubic root of 3332122313 is about 1493.6206578646.

Adding to 3332122313 its reverse (3132212333), we get a palindrome (6464334646).

The spelling of 3332122313 in words is "three billion, three hundred thirty-two million, one hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 13 149 157 1937 2041 10957 23393 142441 304109 1632593 1720249 21223709 22363237 256317101 3332122313