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13312400200 = 23521137163543
BaseRepresentation
bin11000110010111101…
…10001101101001000
31021100202121222222021
430121132301231020
5204230433301300
610040550534224
7650615351251
oct143136615510
937322558867
1013312400200
115711559340
1226b6367374
1313420219a8
14904049b28
1552daaed1a
hex3197b1b48

13312400200 has 96 divisors (see below), whose sum is σ = 34677869760. Its totient is φ = 4710009600.

The previous prime is 13312400197. The next prime is 13312400267. The reversal of 13312400200 is 200421331.

It is a happy number.

13312400200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 372 + ... + 163171.

It is an arithmetic number, because the mean of its divisors is an integer number (361227810).

Almost surely, 213312400200 is an apocalyptic number.

13312400200 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 13312400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17338934880).

13312400200 is an abundant number, since it is smaller than the sum of its proper divisors (21365469560).

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

13312400200 is a wasteful number, since it uses less digits than its factorization.

13312400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163607 (or 163598 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13312400200 its reverse (200421331), we get a palindrome (13512821531).

The spelling of 13312400200 in words is "thirteen billion, three hundred twelve million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 37 40 44 50 55 74 88 100 110 148 185 200 220 275 296 370 407 440 550 740 814 925 1100 1480 1628 1850 2035 2200 3256 3700 4070 7400 8140 10175 16280 20350 40700 81400 163543 327086 654172 817715 1308344 1635430 1798973 3270860 3597946 4088575 6051091 6541720 7195892 8177150 8994865 12102182 14391784 16354300 17989730 24204364 30255455 32708600 35979460 44974325 48408728 60510910 66562001 71958920 89948650 121021820 133124002 151277275 179897300 242043640 266248004 302554550 332810005 359794600 532496008 605109100 665620010 1210218200 1331240020 1664050025 2662480040 3328100050 6656200100 13312400200