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12441111101 = 617917314923
BaseRepresentation
bin10111001011000110…
…00100101000111101
31012010001010221000122
423211203010220331
5200434411023401
65414304104325
7620205461636
oct134543045075
935101127018
1012441111101
115304756a01
1224b26050a5
13123366b603
1486044488d
154cc35521b
hex2e58c4a3d

12441111101 has 16 divisors (see below), whose sum is σ = 12880008960. Its totient is φ = 12011613120.

The previous prime is 12441111083. The next prime is 12441111119. The reversal of 12441111101 is 10111114421.

12441111101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12441111083) and next prime (12441111119).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12441111101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12441111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12441111131) 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, 826226 + ... + 841148.

It is an arithmetic number, because the mean of its divisors is an integer number (805000560).

Almost surely, 212441111101 is an apocalyptic number.

It is an amenable number.

12441111101 is a deficient number, since it is larger than the sum of its proper divisors (438897859).

12441111101 is a wasteful number, since it uses less digits than its factorization.

12441111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15236.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12441111101 its reverse (10111114421), we get a palindrome (22552225522).

The spelling of 12441111101 in words is "twelve billion, four hundred forty-one million, one hundred eleven thousand, one hundred one".

Divisors: 1 61 79 173 4819 10553 13667 14923 833687 910303 1178917 2581679 71913937 157482419 203952641 12441111101