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2114431110 = 23251116313103
BaseRepresentation
bin111111000000111…
…1010100010000110
312110100200020012100
41332001322202012
513312243243420
6545451332530
7103253240121
oct17601724206
95410606170
102114431110
119955a5430
124b0151146
132790a158c
14160b653b8
15c5968190
hex7e07a886

2114431110 has 96 divisors (see below), whose sum is σ = 6034549248. Its totient is φ = 509405760.

The previous prime is 2114431103. The next prime is 2114431133. The reversal of 2114431110 is 111344112.

2114431110 is a `hidden beast` number, since 211 + 443 + 1 + 1 + 10 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154819 + ... + 167921.

It is an arithmetic number, because the mean of its divisors is an integer number (62859888).

Almost surely, 22114431110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114431110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017274624).

2114431110 is an abundant number, since it is smaller than the sum of its proper divisors (3920118138).

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

2114431110 is a wasteful number, since it uses less digits than its factorization.

2114431110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13290 (or 13287 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2114431110 is about 45982.9436856755. The cubic root of 2114431110 is about 1283.5058329245.

Adding to 2114431110 its reverse (111344112), we get a palindrome (2225775222).

The spelling of 2114431110 in words is "two billion, one hundred fourteen million, four hundred thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 163 165 198 326 330 489 495 815 978 990 1467 1630 1793 2445 2934 3586 4890 5379 7335 8965 10758 13103 14670 16137 17930 26206 26895 32274 39309 53790 65515 78618 80685 117927 131030 144133 161370 196545 235854 288266 393090 432399 589635 720665 864798 1179270 1297197 1441330 2135789 2161995 2594394 4271578 4323990 6407367 6485985 10678945 12814734 12971970 19222101 21357890 23493679 32036835 38444202 46987358 64073670 70481037 96110505 117468395 140962074 192221010 211443111 234936790 352405185 422886222 704810370 1057215555 2114431110