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12104440161 = 3112335594481
BaseRepresentation
bin10110100010111101…
…10001100101100001
31011020120122021022120
423101132301211201
5144242214041121
65321040054453
7605650021002
oct132136614541
934216567276
1012104440161
115151706060
122419904429
1311ab9a1338
1482b8471a9
154aca00bc6
hex2d17b1961

12104440161 has 32 divisors (see below), whose sum is σ = 18381219840. Its totient is φ = 7013529600.

The previous prime is 12104440151. The next prime is 12104440237. The reversal of 12104440161 is 16104440121.

12104440161 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 12104440161 - 25 = 12104440129 is a prime.

It is a super-2 number, since 2×121044401612 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12104440151) 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, 2699041 + ... + 2703521.

It is an arithmetic number, because the mean of its divisors is an integer number (574413120).

Almost surely, 212104440161 is an apocalyptic number.

12104440161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12104440161 is a deficient number, since it is larger than the sum of its proper divisors (6276779679).

12104440161 is a wasteful number, since it uses less digits than its factorization.

12104440161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8077.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12104440161 its reverse (16104440121), we get a palindrome (28208880282).

The spelling of 12104440161 in words is "twelve billion, one hundred four million, four hundred forty thousand, one hundred sixty-one".

Divisors: 1 3 11 23 33 69 253 759 3559 4481 10677 13443 39149 49291 81857 103063 117447 147873 245571 309189 900427 1133693 2701281 3401079 15947879 47843637 175426669 366801217 526280007 1100403651 4034813387 12104440161