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11310213222 = 2347211129529
BaseRepresentation
bin10101000100010010…
…00010100001100110
31002012020011100210000
422202021002201212
5141130403310342
65110145042130
7550164140400
oct124211024146
932166140700
1011310213222
114884358660
122237926346
1310b3290079
14794181b70
15462e1944c
hex2a2242866

11310213222 has 120 divisors (see below), whose sum is σ = 32161262760. Its totient is φ = 2937695040.

The previous prime is 11310213199. The next prime is 11310213227. The reversal of 11310213222 is 22231201311.

11310213222 is a `hidden beast` number, since 11 + 310 + 21 + 322 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11310213195 and 11310213204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310213227) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22554 + ... + 152082.

It is an arithmetic number, because the mean of its divisors is an integer number (268010523).

Almost surely, 211310213222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11310213222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16080631380).

11310213222 is an abundant number, since it is smaller than the sum of its proper divisors (20851049538).

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

11310213222 is a wasteful number, since it uses less digits than its factorization.

11310213222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129568 (or 129552 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11310213222 its reverse (22231201311), we get a palindrome (33541414533).

The spelling of 11310213222 in words is "eleven billion, three hundred ten million, two hundred thirteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 81 98 99 126 147 154 162 189 198 231 294 297 378 441 462 539 567 594 693 882 891 1078 1134 1323 1386 1617 1782 2079 2646 3234 3969 4158 4851 6237 7938 9702 12474 14553 29106 43659 87318 129529 259058 388587 777174 906703 1165761 1424819 1813406 2331522 2720109 2849638 3497283 4274457 5440218 6346921 6994566 8160327 8548914 9973733 10491849 12693842 12823371 16320654 19040763 19947466 20983698 24480981 25646742 29921199 38081526 38470113 48961962 57122289 59842398 69816131 73442943 76940226 89763597 114244578 115410339 139632262 146885886 171366867 179527194 209448393 230820678 269290791 342733734 418896786 514100601 538581582 628345179 807872373 1028201202 1256690358 1615744746 1885035537 3770071074 5655106611 11310213222