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12334422313300 = 2252123344223133
BaseRepresentation
bin1011001101111101010011…
…0111000100100101010100
31121200011022002122211022011
42303133110313010211110
53104041344103011200
642122204432514004
72412063324534403
oct263372467044524
947604262584264
1012334422313300
113a25aa992460a
1214725b10ab904
136b6191b598c9
14308dbc61163a
15165ca759d5ba
hexb37d4dc4954

12334422313300 has 18 divisors (see below), whose sum is σ = 26765696420078. Its totient is φ = 4933768925280.

The previous prime is 12334422313273. The next prime is 12334422313331. The reversal of 12334422313300 is 331322443321.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 151880976 + 12334270432324 = 12324^2 + 3512018^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61672111467 + ... + 61672111666.

Almost surely, 212334422313300 is an apocalyptic number.

12334422313300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12334422313300 is an abundant number, since it is smaller than the sum of its proper divisors (14431274106778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12334422313300 is a wasteful number, since it uses less digits than its factorization.

12334422313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123344223147 (or 123344223140 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 12334422313300 its reverse (331322443321), we get a palindrome (12665744756621).

The spelling of 12334422313300 in words is "twelve trillion, three hundred thirty-four billion, four hundred twenty-two million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 123344223133 246688446266 493376892532 616721115665 1233442231330 2466884462660 3083605578325 6167211156650 12334422313300