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12341103144 = 233514212631
BaseRepresentation
bin10110111111001011…
…00100101000101000
31011212001221222220020
423133211210220220
5200233310300034
65400332400440
7614552434356
oct133745445050
934761858806
1012341103144
11526325a4a7
122485016120
131218a242c6
148510507d6
154c369d249
hex2df964a28

12341103144 has 16 divisors (see below), whose sum is σ = 30852757920. Its totient is φ = 4113701040.

The previous prime is 12341103139. The next prime is 12341103217. The reversal of 12341103144 is 44130114321.

12341103144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 514212631 = 12341103144 / (1 + 2 + 3 + 4 + 1 + 1 + 0 + 3 + 1 + 4 + 4).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 257106292 + ... + 257106339.

It is an arithmetic number, because the mean of its divisors is an integer number (1928297370).

Almost surely, 212341103144 is an apocalyptic number.

It is an amenable number.

12341103144 is an abundant number, since it is smaller than the sum of its proper divisors (18511654776).

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

12341103144 is a wasteful number, since it uses less digits than its factorization.

12341103144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514212640 (or 514212636 counting only the distinct ones).

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

Adding to 12341103144 its reverse (44130114321), we get a palindrome (56471217465).

The spelling of 12341103144 in words is "twelve billion, three hundred forty-one million, one hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 514212631 1028425262 1542637893 2056850524 3085275786 4113701048 6170551572 12341103144