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30200112 = 2432401523
BaseRepresentation
bin111001100110…
…1000100110000
32002211022202200
41303031010300
530212400422
62555143200
7514460655
oct163150460
962738680
1030200112
1116057878
12a144b00
1363450b7
144021c2c
1529b82ac
hex1ccd130

30200112 has 60 divisors (see below), whose sum is σ = 84891144. Its totient is φ = 10022400.

The previous prime is 30200099. The next prime is 30200117. The reversal of 30200112 is 21100203.

It is a happy number.

It is a super-3 number, since 3×302001123 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 30200094 and 30200103.

It is not an unprimeable number, because it can be changed into a prime (30200117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57483 + ... + 58005.

Almost surely, 230200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42445572).

30200112 is an abundant number, since it is smaller than the sum of its proper divisors (54691032).

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

30200112 is a wasteful number, since it uses less digits than its factorization.

30200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 30200112 is about 5495.4628558475. The cubic root of 30200112 is about 311.4126028982.

Adding to 30200112 its reverse (21100203), we get a palindrome (51300315).

Subtracting from 30200112 its reverse (21100203), we obtain a palindrome (9099909).

The spelling of 30200112 in words is "thirty million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 401 523 802 1046 1203 1569 1604 2092 2406 3138 3208 3609 4184 4707 4812 6276 6416 7218 8368 9414 9624 12552 14436 18828 19248 25104 28872 37656 57744 75312 209723 419446 629169 838892 1258338 1677784 1887507 2516676 3355568 3775014 5033352 7550028 10066704 15100056 30200112