Search a number
-
+
2111120200 = 235274673229
BaseRepresentation
bin111110111010101…
…0010001101001000
312110010110000111001
41331311102031020
513310421321300
6545252344344
7103213140250
oct17565221510
95403400431
102111120200
11993743942
124ab0150b4
132784b2567
14160542960
15c551216a
hex7dd52348

2111120200 has 96 divisors (see below), whose sum is σ = 5623300800. Its totient is φ = 722039040.

The previous prime is 2111120173. The next prime is 2111120233. The reversal of 2111120200 is 20211112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 652186 + ... + 655414.

It is an arithmetic number, because the mean of its divisors is an integer number (58576050).

Almost surely, 22111120200 is an apocalyptic number.

2111120200 is a gapful number since it is divisible by the number (20) 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 2111120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811650400).

2111120200 is an abundant number, since it is smaller than the sum of its proper divisors (3512180600).

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

2111120200 is a wasteful number, since it uses less digits than its factorization.

2111120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719 (or 3710 counting only the distinct ones).

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

The square root of 2111120200 is about 45946.9280801230. The cubic root of 2111120200 is about 1282.8355514019.

Adding to 2111120200 its reverse (20211112), we get a palindrome (2131331312).

The spelling of 2111120200 in words is "two billion, one hundred eleven million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 467 700 934 1400 1868 2335 3229 3269 3736 4670 6458 6538 9340 11675 12916 13076 16145 16345 18680 22603 23350 25832 26152 32290 32690 45206 46700 64580 65380 80725 81725 90412 93400 113015 129160 130760 161450 163450 180824 226030 322900 326900 452060 565075 645800 653800 904120 1130150 1507943 2260300 3015886 4520600 6031772 7539715 10555601 12063544 15079430 21111202 30158860 37698575 42222404 52778005 60317720 75397150 84444808 105556010 150794300 211112020 263890025 301588600 422224040 527780050 1055560100 2111120200