Search a number
-
+
2110211130 = 235235475591
BaseRepresentation
bin111110111000111…
…0100010000111010
312110001201211110210
41331301310100322
513310203224010
6545221051550
7103202333016
oct17561642072
95401654423
102110211130
11993182945
124aa856bb6
13278254851
14160387546
15c53d2b20
hex7dc7443a

2110211130 has 64 divisors (see below), whose sum is σ = 5295310848. Its totient is φ = 537176640.

The previous prime is 2110211113. The next prime is 2110211167. The reversal of 2110211130 is 311120112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374635 + ... + 380225.

It is an arithmetic number, because the mean of its divisors is an integer number (82739232).

Almost surely, 22110211130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110211130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647655424).

2110211130 is an abundant number, since it is smaller than the sum of its proper divisors (3185099718).

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

2110211130 is a wasteful number, since it uses less digits than its factorization.

2110211130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6171.

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

The square root of 2110211130 is about 45937.0344058038. The cubic root of 2110211130 is about 1282.6513909191.

Adding to 2110211130 its reverse (311120112), we get a palindrome (2421331242).

The spelling of 2110211130 in words is "two billion, one hundred ten million, two hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 547 690 1094 1641 2735 3282 5470 5591 8205 11182 12581 16410 16773 25162 27955 33546 37743 55910 62905 75486 83865 125810 128593 167730 188715 257186 377430 385779 642965 771558 1285930 1928895 3058277 3857790 6116554 9174831 15291385 18349662 30582770 45874155 70340371 91748310 140680742 211021113 351701855 422042226 703403710 1055105565 2110211130