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2101200112 = 24118321733
BaseRepresentation
bin111110100111101…
…1100010011110000
312102102210000200101
41331033130103300
513300401400422
6544300002144
7103032622564
oct17517342360
95372700611
102101200112
11989088820
124a7830354
1327641b19b
1415d0bd6a4
15c4702c27
hex7d3dc4f0

2101200112 has 60 divisors (see below), whose sum is σ = 4497919704. Its totient is φ = 943039360.

The previous prime is 2101200097. The next prime is 2101200137. The reversal of 2101200112 is 2110021012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1211598 + ... + 1213330.

Almost surely, 22101200112 is an apocalyptic number.

2101200112 is a gapful number since it is divisible by the number (22) 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 2101200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248959852).

2101200112 is an abundant number, since it is smaller than the sum of its proper divisors (2396719592).

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

2101200112 is a wasteful number, since it uses less digits than its factorization.

2101200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2101200112 is about 45838.8493747389. The cubic root of 2101200112 is about 1280.8230611394.

Adding to 2101200112 its reverse (2110021012), we get a palindrome (4211221124).

Subtracting 2101200112 from its reverse (2110021012), we obtain a square (8820900 = 29702).

The spelling of 2101200112 in words is "two billion, one hundred one million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 83 88 166 176 332 664 913 1328 1733 1826 3466 3652 6889 6932 7304 13778 13864 14608 19063 27556 27728 38126 55112 75779 76252 110224 143839 151558 152504 287678 303116 305008 575356 606232 1150712 1212464 1582229 2301424 3164458 6328916 11938637 12657832 23877274 25315664 47754548 95509096 131325007 191018192 262650014 525300028 1050600056 2101200112