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14113332200 = 23521112750513
BaseRepresentation
bin11010010010011100…
…00101101111101000
31100102120201120010102
431021032011233220
5212401003112300
610252241404532
71006512226052
oct151116055750
940376646112
1014113332200
115a92676410
12289a639748
13143bc3cb56
1497c5788d2
1557906d0d5
hex349385be8

14113332200 has 96 divisors (see below), whose sum is σ = 36079119360. Its totient is φ = 5091609600.

The previous prime is 14113332193. The next prime is 14113332209. The reversal of 14113332200 is 223331141.

14113332200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×141133322002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14113332209) 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 23 ways as a sum of consecutive naturals, for example, 254144 + ... + 304656.

It is an arithmetic number, because the mean of its divisors is an integer number (375824160).

Almost surely, 214113332200 is an apocalyptic number.

14113332200 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 14113332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18039559680).

14113332200 is an abundant number, since it is smaller than the sum of its proper divisors (21965787160).

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

14113332200 is a wasteful number, since it uses less digits than its factorization.

14113332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50667 (or 50658 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 14113332200 its reverse (223331141), we get a palindrome (14336663341).

The spelling of 14113332200 in words is "fourteen billion, one hundred thirteen million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 127 200 220 254 275 440 508 550 635 1016 1100 1270 1397 2200 2540 2794 3175 5080 5588 6350 6985 11176 12700 13970 25400 27940 34925 50513 55880 69850 101026 139700 202052 252565 279400 404104 505130 555643 1010260 1111286 1262825 2020520 2222572 2525650 2778215 4445144 5051300 5556430 6415151 10102600 11112860 12830302 13891075 22225720 25660604 27782150 32075755 51321208 55564300 64151510 70566661 111128600 128303020 141133322 160378775 256606040 282266644 320757550 352833305 564533288 641515100 705666610 1283030200 1411333220 1764166525 2822666440 3528333050 7056666100 14113332200