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11321133112311 = 311379272017291
BaseRepresentation
bin1010010010111110100000…
…0111100001101111110111
31111002021211020021001011220
42210233220013201233313
52440441140034043221
640024505020401423
72245632142456221
oct244575007415767
944067736231156
1011321133112311
1136752a1556290
12132a1406a6273
13641769602a39
142b1d3527b411
1514974e30b0c6
hexa4be81e1bf7

11321133112311 has 16 divisors (see below), whose sum is σ = 16912159540608. Its totient is φ = 6675852448800.

The previous prime is 11321133112279. The next prime is 11321133112339.

11321133112311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11321133112311 - 25 = 11321133112279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11321133112351) 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, 4636007425 + ... + 4636009866.

It is an arithmetic number, because the mean of its divisors is an integer number (1057009971288).

Almost surely, 211321133112311 is an apocalyptic number.

11321133112311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11321133112311 is a deficient number, since it is larger than the sum of its proper divisors (5591026428297).

11321133112311 is a wasteful number, since it uses less digits than its factorization.

11321133112311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9272017342.

The product of its digits is 324, while the sum is 24.

It can be divided in two parts, 1132113 and 3112311, that added together give a palindrome (4244424).

The spelling of 11321133112311 in words is "eleven trillion, three hundred twenty-one billion, one hundred thirty-three million, one hundred twelve thousand, three hundred eleven".

Divisors: 1 3 11 33 37 111 407 1221 9272017291 27816051873 101992190201 305976570603 343064639767 1029193919301 3773711037437 11321133112311