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2112032010 = 2351122920063
BaseRepresentation
bin111110111100011…
…0000110100001010
312110012011100020210
41331320300310022
513311140011020
6545324101550
7103223655504
oct17570606412
95405140223
102112032010
11994206a00
124ab3948b6
132787415aa
141606dcd74
15c56423e0
hex7de30d0a

2112032010 has 96 divisors (see below), whose sum is σ = 5763985920. Its totient is φ = 494327680.

The previous prime is 2112031993. The next prime is 2112032011. The reversal of 2112032010 is 102302112.

It is a super-2 number, since 2×21120320102 = 8921358422529280200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112032011) 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, 95239 + ... + 115301.

It is an arithmetic number, because the mean of its divisors is an integer number (60041520).

Almost surely, 22112032010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112032010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881992960).

2112032010 is an abundant number, since it is smaller than the sum of its proper divisors (3651953910).

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

2112032010 is a wasteful number, since it uses less digits than its factorization.

2112032010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20124 (or 20113 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2112032010 is about 45956.8494350951. The cubic root of 2112032010 is about 1283.0202138579.

Adding to 2112032010 its reverse (102302112), we get a palindrome (2214334122).

The spelling of 2112032010 in words is "two billion, one hundred twelve million, thirty-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 121 145 165 174 242 290 319 330 363 435 605 638 726 870 957 1210 1595 1815 1914 3190 3509 3630 4785 7018 9570 10527 17545 20063 21054 35090 40126 52635 60189 100315 105270 120378 200630 220693 300945 441386 581827 601890 662079 1103465 1163654 1324158 1745481 2206930 2427623 2909135 3310395 3490962 4855246 5818270 6400097 6620790 7282869 8727405 12138115 12800194 14565738 17454810 19200291 24276230 32000485 36414345 38400582 64000970 70401067 72828690 96001455 140802134 192002910 211203201 352005335 422406402 704010670 1056016005 2112032010