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2011112010 = 233529419613
BaseRepresentation
bin111011111011111…
…0010001001001010
312012011021002001000
41313313302021022
513104321041020
6531321035430
7100560112215
oct16767621112
95164232030
102011112010
11942247246
12481625b76
1326086810b
1415114c77c
15bb85a090
hex77df224a

2011112010 has 128 divisors (see below), whose sum is σ = 5570208000. Its totient is φ = 515725056.

The previous prime is 2011112009. The next prime is 2011112041. The reversal of 2011112010 is 102111102.

It is a happy number.

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 = 2011111983 and 2011112001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3280464 + ... + 3281076.

It is an arithmetic number, because the mean of its divisors is an integer number (43517250).

Almost surely, 22011112010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785104000).

2011112010 is an abundant number, since it is smaller than the sum of its proper divisors (3559095990).

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

2011112010 is a wasteful number, since it uses less digits than its factorization.

2011112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1071 counting only the distinct ones).

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

The square root of 2011112010 is about 44845.4235123273. The cubic root of 2011112010 is about 1262.2501176527.

Adding to 2011112010 its reverse (102111102), we get a palindrome (2113223112).

The spelling of 2011112010 in words is "two billion, eleven million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 419 435 522 613 783 838 870 1226 1257 1305 1566 1839 2095 2514 2610 3065 3678 3771 3915 4190 5517 6130 6285 7542 7830 9195 11034 11313 12151 12570 16551 17777 18390 18855 22626 24302 27585 33102 35554 36453 37710 53331 55170 56565 60755 72906 82755 88885 106662 109359 113130 121510 159993 165510 177770 182265 218718 256847 266655 319986 328077 364530 479979 513694 533310 546795 656154 770541 799965 959958 1093590 1284235 1541082 1599930 1640385 2311623 2399895 2568470 3280770 3852705 4623246 4799790 6934869 7448563 7705410 11558115 13869738 14897126 22345689 23116230 34674345 37242815 44691378 67037067 69348690 74485630 111728445 134074134 201111201 223456890 335185335 402222402 670370670 1005556005 2011112010