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12134434011 = 3729101197279
BaseRepresentation
bin10110100110100010…
…01100010011011011
31011022200002010010220
423103101030103123
5144322403342021
65324031011123
7606462662430
oct132321142333
934280063126
1012134434011
115167631967
122427969aa3
1311b4c7358b
14831813b87
154b0477cc6
hex2d344c4db

12134434011 has 32 divisors (see below), whose sum is σ = 19317657600. Its totient is φ = 6628540800.

The previous prime is 12134433931. The next prime is 12134434019. The reversal of 12134434011 is 11043443121.

12134434011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12134434011 - 221 = 12132336859 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12134434019) 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 31 ways as a sum of consecutive naturals, for example, 37131 + ... + 160148.

It is an arithmetic number, because the mean of its divisors is an integer number (603676800).

Almost surely, 212134434011 is an apocalyptic number.

12134434011 is a deficient number, since it is larger than the sum of its proper divisors (7183223589).

12134434011 is a wasteful number, since it uses less digits than its factorization.

12134434011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197419.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12134434011 its reverse (11043443121), we get a palindrome (23177877132).

The spelling of 12134434011 in words is "twelve billion, one hundred thirty-four million, four hundred thirty-four thousand, eleven".

Divisors: 1 3 7 21 29 87 101 203 303 609 707 2121 2929 8787 20503 61509 197279 591837 1380953 4142859 5721091 17163273 19925179 40047637 59775537 120142911 139476253 418428759 577830191 1733490573 4044811337 12134434011