Search a number
-
+
1332310133312 = 2673479359497
BaseRepresentation
bin10011011000110011110…
…111110100101001000000
311201100220222120021202022
4103120303313310221000
5133312032343231222
62500015501541012
7165153613164644
oct23306367645100
94640828507668
101332310133312
11474036378604
12196263b74768
1398836c71b12
14486ac73cc24
15249ca773042
hex13633df4a40

1332310133312 has 56 divisors (see below), whose sum is σ = 2680623605976. Its totient is φ = 656881532928.

The previous prime is 1332310133243. The next prime is 1332310133359. The reversal of 1332310133312 is 2133310132331.

It can be written as a sum of positive squares in 4 ways, for example, as 515788257856 + 816521875456 = 718184^2 + 903616^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22363148 + ... + 22422644.

Almost surely, 21332310133312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332310133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340311802988).

1332310133312 is an abundant number, since it is smaller than the sum of its proper divisors (1348313472664).

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

1332310133312 is an equidigital number, since it uses as much as digits as its factorization.

1332310133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64375 (or 64365 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 1332310133312 its reverse (2133310132331), we get a palindrome (3465620265643).

The spelling of 1332310133312 in words is "one trillion, three hundred thirty-two billion, three hundred ten million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1168 2336 4672 4793 9586 19172 38344 59497 76688 118994 153376 237988 306752 349889 475976 699778 951952 1399556 1903904 2799112 3807808 4343281 5598224 8686562 11196448 17373124 22392896 34746248 69492496 138984992 277969984 285169121 570338242 1140676484 2281352968 4562705936 9125411872 18250823744 20817345833 41634691666 83269383332 166538766664 333077533328 666155066656 1332310133312