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12111301161 = 321489903761
BaseRepresentation
bin10110100011110001…
…11100101000101001
31011021001112211211200
423101320330220221
5144300443114121
65321443114413
7606062234631
oct132170745051
934231484750
1012111301161
115155571903
122420072a09
1311b02341bb
1482c7116c1
154ad408a26
hex2d1e3ca29

12111301161 has 12 divisors (see below), whose sum is σ = 17505869940. Its totient is φ = 8068769280.

The previous prime is 12111301159. The next prime is 12111301171. The reversal of 12111301161 is 16110311121.

12111301161 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 2 ways, for example, as 2737382400 + 9373918761 = 52320^2 + 96819^2 .

It is not a de Polignac number, because 12111301161 - 21 = 12111301159 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12111301171) 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 11 ways as a sum of consecutive naturals, for example, 438480 + ... + 465281.

It is an arithmetic number, because the mean of its divisors is an integer number (1458822495).

Almost surely, 212111301161 is an apocalyptic number.

It is an amenable number.

12111301161 is a deficient number, since it is larger than the sum of its proper divisors (5394568779).

12111301161 is a wasteful number, since it uses less digits than its factorization.

12111301161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905256 (or 905253 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 12111301161 its reverse (16110311121), we get a palindrome (28221612282).

The spelling of 12111301161 in words is "twelve billion, one hundred eleven million, three hundred one thousand, one hundred sixty-one".

Divisors: 1 3 9 1489 4467 13401 903761 2711283 8133849 1345700129 4037100387 12111301161