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200112012 = 22331999311
BaseRepresentation
bin10111110110101…
…11011110001100
3111221112202002000
423323113132030
5402212041022
631505032300
74646631642
oct1373273614
9457482060
10200112012
11a2a5a131
1257025690
13325c6299
141c811192
151287c6ac
hexbed778c

200112012 has 48 divisors (see below), whose sum is σ = 521472000. Its totient is φ = 66361680.

The previous prime is 200111993. The next prime is 200112013. The reversal of 200112012 is 210211002.

200112012 is digitally balanced in base 3, 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 200111985 and 200112003.

It is not an unprimeable number, because it can be changed into a prime (200112013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16837 + ... + 26147.

It is an arithmetic number, because the mean of its divisors is an integer number (10864000).

Almost surely, 2200112012 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 200112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260736000).

200112012 is an abundant number, since it is smaller than the sum of its proper divisors (321359988).

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

200112012 is a wasteful number, since it uses less digits than its factorization.

200112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9523 (or 9515 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 200112012 is about 14146.0952916344. The cubic root of 200112012 is about 584.9127022924.

Adding to 200112012 its reverse (210211002), we get a palindrome (410323014).

The spelling of 200112012 in words is "two hundred million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 199 398 597 796 1194 1791 2388 3582 5373 7164 9311 10746 18622 21492 27933 37244 55866 83799 111732 167598 251397 335196 502794 1005588 1852889 3705778 5558667 7411556 11117334 16676001 22234668 33352002 50028003 66704004 100056006 200112012