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213221311110 = 232531227336667
BaseRepresentation
bin1100011010010011111…
…0110000001010000110
3202101100202111212201200
43012210332300022012
511443134123423420
6241541424403330
721255552145353
oct3064476601206
9671322455650
10213221311110
11824769649a5
12353a7476546
13171504ca2a2
14a469db962a
15582e03eb90
hex31a4fb0286

213221311110 has 96 divisors (see below), whose sum is σ = 574781156352. Its totient is φ = 54782291520.

The previous prime is 213221311109. The next prime is 213221311183. The reversal of 213221311110 is 11113122312.

213221311110 is a `hidden beast` number, since 21 + 3 + 221 + 311 + 110 = 666.

213221311110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2132213111102 (a number of 23 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464997 + ... + 801663.

It is an arithmetic number, because the mean of its divisors is an integer number (5987303712).

Almost surely, 2213221311110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213221311110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287390578176).

213221311110 is an abundant number, since it is smaller than the sum of its proper divisors (361559845242).

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

213221311110 is a wasteful number, since it uses less digits than its factorization.

213221311110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336938 (or 336935 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 213221311110 its reverse (11113122312), we get a palindrome (224334433422).

The spelling of 213221311110 in words is "two hundred thirteen billion, two hundred twenty-one million, three hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 227 279 310 454 465 558 681 930 1135 1362 1395 2043 2270 2790 3405 4086 6810 7037 10215 14074 20430 21111 35185 42222 63333 70370 105555 126666 211110 316665 336667 633330 673334 1010001 1683335 2020002 3030003 3366670 5050005 6060006 10100010 10436677 15150015 20873354 30300030 31310031 52183385 62620062 76423409 93930093 104366770 152846818 156550155 187860186 229270227 313100310 382117045 458540454 469650465 687810681 764234090 939300930 1146351135 1375621362 2292702270 2369125679 3439053405 4738251358 6878106810 7107377037 11845628395 14214754074 21322131111 23691256790 35536885185 42644262222 71073770370 106610655555 213221311110