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12319243410 = 235617985213
BaseRepresentation
bin10110111100100100…
…01011110010010010
31011210112211101222110
423132102023302102
5200212211242120
65354232050150
7614165561355
oct133622136222
934715741873
1012319243410
115251989a01
122479833956
13121433c556
1484c1a029c
154c17d12e0
hex2de48bc92

12319243410 has 64 divisors (see below), whose sum is σ = 30431623680. Its totient is φ = 3190337280.

The previous prime is 12319243403. The next prime is 12319243411. The reversal of 12319243410 is 1434291321.

12319243410 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 (30).

It is not an unprimeable number, because it can be changed into a prime (12319243411) 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, 101964 + ... + 187176.

It is an arithmetic number, because the mean of its divisors is an integer number (475494120).

Almost surely, 212319243410 is an apocalyptic number.

12319243410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12319243410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15215811840).

12319243410 is an abundant number, since it is smaller than the sum of its proper divisors (18112380270).

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

12319243410 is a wasteful number, since it uses less digits than its factorization.

12319243410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85363.

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 12319243410 in words is "twelve billion, three hundred nineteen million, two hundred forty-three thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 61 79 122 158 183 237 305 366 395 474 610 790 915 1185 1830 2370 4819 9638 14457 24095 28914 48190 72285 85213 144570 170426 255639 426065 511278 852130 1278195 2556390 5197993 6731827 10395986 13463654 15593979 20195481 25989965 31187958 33659135 40390962 51979930 67318270 77969895 100977405 155939790 201954810 410641447 821282894 1231924341 2053207235 2463848682 4106414470 6159621705 12319243410