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332320331313 = 33137116377249
BaseRepresentation
bin1001101010111111101…
…01011101011000110001
31011202202222022222022000
410311133311131120301
520421043001100223
6412355454004213
733003131131455
oct4653765353061
91152688288260
10332320331313
11118a33188613
12544a54a6669
1325450b36cc9
14121277cc665
15899ed73543
hex4d5fd5d631

332320331313 has 32 divisors (see below), whose sum is σ = 496352880000. Its totient is φ = 219737806848.

The previous prime is 332320331293. The next prime is 332320331327. The reversal of 332320331313 is 313133023233.

332320331313 is a `hidden beast` number, since 3 + 3 + 2 + 320 + 331 + 3 + 1 + 3 = 666.

It is not a de Polignac number, because 332320331313 - 25 = 332320331281 is a prime.

It is a super-2 number, since 2×3323203313132 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (332320331353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4263313 + ... + 4340561.

It is an arithmetic number, because the mean of its divisors is an integer number (15511027500).

Almost surely, 2332320331313 is an apocalyptic number.

It is an amenable number.

332320331313 is a deficient number, since it is larger than the sum of its proper divisors (164032548687).

332320331313 is a wasteful number, since it uses less digits than its factorization.

332320331313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78558 (or 78552 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 332320331313 its reverse (313133023233), we get a palindrome (645453354546).

The spelling of 332320331313 in words is "three hundred thirty-two billion, three hundred twenty million, three hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 9 27 137 411 1163 1233 3489 3699 10467 31401 77249 159331 231747 477993 695241 1433979 2085723 4301937 10583113 31749339 89840587 95248017 269521761 285744051 808565283 2425695849 12308160419 36924481257 110773443771 332320331313