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3133301113332 = 22321317393828697
BaseRepresentation
bin101101100110000111010…
…011001100000111110100
3102002112121010211110020200
4231212013103030013310
5402314000041111312
610355230233000500
7442242060011415
oct55460723140764
912075533743220
103133301113332
11aa8909880145
12427308253130
131996135b6720
14ab91c98b80c
15567872ca0dc
hex2d9874cc1f4

3133301113332 has 72 divisors (see below), whose sum is σ = 9031279702536. Its totient is φ = 907381315584.

The previous prime is 3133301113331. The next prime is 3133301113357. The reversal of 3133301113332 is 2333111033313.

3133301113332 is a `hidden beast` number, since 3 + 13 + 3 + 301 + 1 + 13 + 332 = 666.

3133301113332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 112087022436 + 3021214090896 = 334794^2 + 1738164^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3133301113296 and 3133301113305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133301113331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196906393 + ... + 196922304.

It is an arithmetic number, because the mean of its divisors is an integer number (125434440313).

Almost surely, 23133301113332 is an apocalyptic number.

It is an amenable number.

3133301113332 is an abundant number, since it is smaller than the sum of its proper divisors (5897978589204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3133301113332 is a wasteful number, since it uses less digits than its factorization.

3133301113332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393828737 (or 393828732 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 3133301113332 its reverse (2333111033313), we get a palindrome (5466412146645).

The spelling of 3133301113332 in words is "three trillion, one hundred thirty-three billion, three hundred one million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 7956 393828697 787657394 1181486091 1575314788 2362972182 3544458273 4725944364 5119773061 6695087849 7088916546 10239546122 13390175698 14177833092 15359319183 20085263547 20479092244 26780351396 30718638366 40170527094 46077957549 60255790641 61437276732 80341054188 87036142037 92155915098 120511581282 174072284074 184311830196 241023162564 261108426111 348144568148 522216852222 783325278333 1044433704444 1566650556666 3133301113332