Search a number
-
+
13233302331113 = 177091481741341
BaseRepresentation
bin1100000010010001111001…
…0010001101111011101001
31201212002110120222220210202
43000210132102031323221
53213303300344043423
644051143431121545
72534034365605634
oct300443622157351
951762416886722
1013233302331113
1142422371a1197
1215988522132b5
1374cb83589a57
1433a6d0d76c1b
1517e3665e8728
hexc091e48dee9

13233302331113 has 16 divisors (see below), whose sum is σ = 14040987826320. Its totient is φ = 12428891289600.

The previous prime is 13233302331107. The next prime is 13233302331121. The reversal of 13233302331113 is 31113320333231.

It can be written as a sum of positive squares in 8 ways, for example, as 11446432144 + 13221855898969 = 106988^2 + 3636187^2 .

It is a cyclic number.

It is not a de Polignac number, because 13233302331113 - 210 = 13233302330089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13233302331313) 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, 17479823 + ... + 18221163.

It is an arithmetic number, because the mean of its divisors is an integer number (877561739145).

Almost surely, 213233302331113 is an apocalyptic number.

It is an amenable number.

13233302331113 is a deficient number, since it is larger than the sum of its proper divisors (807685495207).

13233302331113 is a wasteful number, since it uses less digits than its factorization.

13233302331113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743548.

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 13233302331113 its reverse (31113320333231), we get a palindrome (44346622664344).

The spelling of 13233302331113 in words is "thirteen trillion, two hundred thirty-three billion, three hundred two million, three hundred thirty-one thousand, one hundred thirteen".

Divisors: 1 17 709 1481 12053 25177 741341 1050029 12602797 17850493 525610769 1097926021 8935383073 18664742357 778429548889 13233302331113