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212113030200 = 233523710519091
BaseRepresentation
bin1100010110001011101…
…0111111110000111000
3202021111112002101010120
43011202322333300320
511433401413431300
6241235434213240
721216234002601
oct3054272776070
9667445071116
10212113030200
1181a58304065
1235138284220
1317004a0a376
14a3a2b22da8
1557b6ac03a0
hex3162ebfc38

212113030200 has 192 divisors, whose sum is σ = 676038933120. Its totient is φ = 54976320000.

The previous prime is 212113030187. The next prime is 212113030229. The reversal of 212113030200 is 2030311212.

It is a super-2 number, since 2×2121130302002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212113030200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23327655 + ... + 23336745.

It is an arithmetic number, because the mean of its divisors is an integer number (3521036110).

Almost surely, 2212113030200 is an apocalyptic number.

212113030200 is a gapful number since it is divisible by the number (20) 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 212113030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338019466560).

212113030200 is an abundant number, since it is smaller than the sum of its proper divisors (463925902920).

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

212113030200 is a wasteful number, since it uses less digits than its factorization.

212113030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10198 (or 10189 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 212113030200 its reverse (2030311212), we get a palindrome (214143341412).

The spelling of 212113030200 in words is "two hundred twelve billion, one hundred thirteen million, thirty thousand, two hundred".