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11302312333 = 1325716012113
BaseRepresentation
bin10101000011010101…
…11001100110001101
31002011200021221210111
422201222321212031
5141121342443313
65105303440021
7550040032624
oct124152714615
932150257714
1011302312333
11487a9515a4
122235156011
1310b1754aa0
147930c66bb
154623a843d
hex2a1ab998d

11302312333 has 16 divisors (see below), whose sum is σ = 12232500336. Its totient is φ = 10380902400.

The previous prime is 11302312331. The next prime is 11302312367. The reversal of 11302312333 is 33321320311.

11302312333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 176703849 + 11125608484 = 13293^2 + 105478^2 .

It is a cyclic number.

It is not a de Polignac number, because 11302312333 - 21 = 11302312331 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11302312331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5347885 + ... + 5349997.

It is an arithmetic number, because the mean of its divisors is an integer number (764531271).

Almost surely, 211302312333 is an apocalyptic number.

11302312333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11302312333 is a deficient number, since it is larger than the sum of its proper divisors (930188003).

11302312333 is a wasteful number, since it uses less digits than its factorization.

11302312333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 11302312333 its reverse (33321320311), we get a palindrome (44623632644).

The spelling of 11302312333 in words is "eleven billion, three hundred two million, three hundred twelve thousand, three hundred thirty-three".

Divisors: 1 13 257 1601 2113 3341 20813 27469 411457 543041 3382913 5348941 7059533 43977869 869408641 11302312333