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2000110212 = 2233612331303
BaseRepresentation
bin111011100110111…
…0100001010000100
312011101120010102000
41313031310022010
513044012011322
6530245145300
7100364441052
oct16715641204
95141503360
102000110212
11937012451
124799bb230
1325b4b5589
1414d8c71d2
15ba8d53ac
hex77374284

2000110212 has 96 divisors (see below), whose sum is σ = 5297160960. Its totient is φ = 652458240.

The previous prime is 2000110201. The next prime is 2000110243. The reversal of 2000110212 is 2120110002.

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 = 2000110194 and 2000110203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1534353 + ... + 1535655.

It is an arithmetic number, because the mean of its divisors is an integer number (55178760).

Almost surely, 22000110212 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 2000110212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648580480).

2000110212 is an abundant number, since it is smaller than the sum of its proper divisors (3297050748).

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

2000110212 is a wasteful number, since it uses less digits than its factorization.

2000110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1602 counting only the distinct ones).

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

The square root of 2000110212 is about 44722.5917406404. The cubic root of 2000110212 is about 1259.9441925396.

Adding to 2000110212 its reverse (2120110002), we get a palindrome (4120220214).

The spelling of 2000110212 in words is "two billion, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 233 244 366 466 549 699 732 932 1098 1303 1398 1647 2097 2196 2606 2796 3294 3909 4194 5212 6291 6588 7818 8388 11727 12582 14213 15636 23454 25164 28426 35181 42639 46908 56852 70362 79483 85278 127917 140724 158966 170556 238449 255834 303599 317932 383751 476898 511668 607198 715347 767502 910797 953796 1214396 1430694 1535004 1821594 2146041 2732391 2861388 3643188 4292082 5464782 8197173 8584164 10929564 16394346 18519539 32788692 37039078 55558617 74078156 111117234 166675851 222234468 333351702 500027553 666703404 1000055106 2000110212