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11323111132311 = 311371012909091
BaseRepresentation
bin1010010011000101111000…
…0001000100110010010111
31111002110221002020212111220
42210301132001010302113
52441004212422213221
640025433200301423
72246032151404326
oct244613601046227
944073832225456
1011323111132311
11367611704aa60
12132a5b3011873
136419c3352684
142b2081c540bd
15149817ccb0c6
hexa4c5e044c97

11323111132311 has 48 divisors (see below), whose sum is σ = 17084267773824. Its totient is φ = 6610902480000.

The previous prime is 11323111132303. The next prime is 11323111132337.

11323111132311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11323111132311 - 23 = 11323111132303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11323111132351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12000876 + ... + 12909966.

It is an arithmetic number, because the mean of its divisors is an integer number (355922245288).

Almost surely, 211323111132311 is an apocalyptic number.

11323111132311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11323111132311 is a deficient number, since it is larger than the sum of its proper divisors (5761156641513).

11323111132311 is a wasteful number, since it uses less digits than its factorization.

11323111132311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909344 (or 909243 counting only the distinct ones).

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

It can be divided in two parts, 1132311 and 1132311, that added together give a palindrome (2264622).

The spelling of 11323111132311 in words is "eleven trillion, three hundred twenty-three billion, one hundred eleven million, one hundred thirty-two thousand, three hundred eleven".

Divisors: 1 3 11 33 37 101 111 303 407 1111 1221 3333 3737 10201 11211 30603 41107 112211 123321 336633 377437 909091 1132311 2727273 4151807 10000001 12455421 30000003 33636367 91818191 100909101 275454573 370000037 1010000101 1110000111 3030000303 3397273067 9273637291 10191819201 27820911873 37370003737 102010010201 112110011211 306030030603 343124579767 1029373739301 3774370377437 11323111132311