Search a number
-
+
2110044114 = 233174315333
BaseRepresentation
bin111110111000100…
…1011011111010010
312110001102100101000
41331301023133102
513310132402424
6545213322430
7103201036053
oct17561133722
95401370330
102110044114
11993079412
124aa796416
132781c6819
1416034272a
15c539d3c9
hex7dc4b7d2

2110044114 has 64 divisors (see below), whose sum is σ = 4977262080. Its totient is φ = 660314880.

The previous prime is 2110044091. The next prime is 2110044121. The reversal of 2110044114 is 4114400112.

2110044114 is a `hidden beast` number, since 211 + 0 + 0 + 441 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392992 + ... + 398324.

It is an arithmetic number, because the mean of its divisors is an integer number (77769720).

Almost surely, 22110044114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110044114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488631040).

2110044114 is an abundant number, since it is smaller than the sum of its proper divisors (2867217966).

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

2110044114 is a wasteful number, since it uses less digits than its factorization.

2110044114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5792 (or 5786 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2110044114 is about 45935.2164901832. The cubic root of 2110044114 is about 1282.6175508681.

Adding to 2110044114 its reverse (4114400112), we get a palindrome (6224444226).

The spelling of 2110044114 in words is "two billion, one hundred ten million, forty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 431 459 862 918 1293 2586 3879 5333 7327 7758 10666 11637 14654 15999 21981 23274 31998 43962 47997 65943 90661 95994 131886 143991 181322 197829 271983 287982 395658 543966 815949 1631898 2298523 2447847 4597046 4895694 6895569 13791138 20686707 39074891 41373414 62060121 78149782 117224673 124120242 234449346 351674019 703348038 1055022057 2110044114