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2001112110 = 2325191398419
BaseRepresentation
bin111011101000110…
…1000110000101110
312011110110000202100
41313101220300232
513044241041420
6530322435530
7100406113044
oct16721506056
95143400670
102001112110
11937637168
1247a202ba6
1325b77660a
1414daa8394
15baa32190
hex77468c2e

2001112110 has 96 divisors (see below), whose sum is σ = 5516784000. Its totient is φ = 501847488.

The previous prime is 2001112103. The next prime is 2001112111. The reversal of 2001112110 is 112111002.

It is a happy number.

2001112110 is digitally balanced in base 4, 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 = 2001112092 and 2001112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001112111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233481 + ... + 241899.

It is an arithmetic number, because the mean of its divisors is an integer number (57466500).

Almost surely, 22001112110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758392000).

2001112110 is an abundant number, since it is smaller than the sum of its proper divisors (3515671890).

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

2001112110 is a wasteful number, since it uses less digits than its factorization.

2001112110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8590 (or 8587 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2001112110 is about 44733.7915898038. The cubic root of 2001112110 is about 1260.1545350898.

Adding to 2001112110 its reverse (112111002), we get a palindrome (2113223112).

The spelling of 2001112110 in words is "two billion, one million, one hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 139 171 190 278 285 342 417 570 695 834 855 1251 1390 1710 2085 2502 2641 4170 5282 6255 7923 8419 12510 13205 15846 16838 23769 25257 26410 39615 42095 47538 50514 75771 79230 84190 118845 126285 151542 159961 237690 252570 319922 378855 479883 757710 799805 959766 1170241 1439649 1599610 2340482 2399415 2879298 3510723 4798830 5851205 7021446 7198245 10532169 11702410 14396490 17553615 21064338 22234579 35107230 44469158 52660845 66703737 105321690 111172895 133407474 200111211 222345790 333518685 400222422 667037370 1000556055 2001112110