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12331112300 = 22521334927179
BaseRepresentation
bin10110111101111110…
…11101011101101100
31011211101011102000222
423132333131131230
5200223231043200
65355334310512
7614401503503
oct133677353554
934741142028
1012331112300
115258656201
1224817b8438
131216936970
1484d9ad83a
154c2877d85
hex2defdd76c

12331112300 has 72 divisors (see below), whose sum is σ = 28900494000. Its totient is φ = 4539813120.

The previous prime is 12331112267. The next prime is 12331112323. The reversal of 12331112300 is 321113321.

It is a super-2 number, since 2×123311123002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440111 + ... + 467289.

It is an arithmetic number, because the mean of its divisors is an integer number (401395750).

Almost surely, 212331112300 is an apocalyptic number.

12331112300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12331112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14450247000).

12331112300 is an abundant number, since it is smaller than the sum of its proper divisors (16569381700).

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

12331112300 is a wasteful number, since it uses less digits than its factorization.

12331112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27555 (or 27548 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12331112300 its reverse (321113321), we get a palindrome (12652225621).

The spelling of 12331112300 in words is "twelve billion, three hundred thirty-one million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 349 650 698 1300 1396 1745 3490 4537 6980 8725 9074 17450 18148 22685 27179 34900 45370 54358 90740 108716 113425 135895 226850 271790 353327 453700 543580 679475 706654 1358950 1413308 1766635 2717900 3533270 7066540 8833175 9485471 17666350 18970942 35332700 37941884 47427355 94854710 123311123 189709420 237136775 246622246 474273550 493244492 616555615 948547100 1233111230 2466222460 3082778075 6165556150 12331112300