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11312333321311 = 1110110182118201
BaseRepresentation
bin1010010010011101101110…
…0110111111010001011111
31111001110002221220100021201
42210213123212333101133
52440320124312240221
640020451510340331
72245201110462661
oct244473346772137
944043087810251
1011312333321311
113671596280040
1213284a565a6a7
13640996480c09
142b173c6a0531
151493d69ca891
hexa49db9bf45f

11312333321311 has 8 divisors (see below), whose sum is σ = 12462912679248. Its totient is φ = 10182118200000.

The previous prime is 11312333321299. The next prime is 11312333321321.

It is a happy number.

11312333321311 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11312333321311 - 211 = 11312333319263 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11312333321311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312333321321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5091057990 + ... + 5091060211.

It is an arithmetic number, because the mean of its divisors is an integer number (1557864084906).

Almost surely, 211312333321311 is an apocalyptic number.

11312333321311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11312333321311 is a deficient number, since it is larger than the sum of its proper divisors (1150579357937).

11312333321311 is a wasteful number, since it uses less digits than its factorization.

11312333321311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10182118313.

The product of its digits is 2916, while the sum is 28.

It can be divided in two parts, 1131233 and 3321311, that added together give a palindrome (4452544).

The spelling of 11312333321311 in words is "eleven trillion, three hundred twelve billion, three hundred thirty-three million, three hundred twenty-one thousand, three hundred eleven".

Divisors: 1 11 101 1111 10182118201 112003300211 1028393938301 11312333321311