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11210213322 = 2337113118669
BaseRepresentation
bin10100111000010111…
…00100011111001010
31001221020222211201000
422130023210133022
5140424303311242
65052213435430
7544541145450
oct123413443712
931836884630
1011210213322
114832967210
12220a33bb76
131098649629
14784b909d0
15459264a4c
hex29c2e47ca

11210213322 has 128 divisors (see below), whose sum is σ = 31162060800. Its totient is φ = 2902046400.

The previous prime is 11210213293. The next prime is 11210213323. The reversal of 11210213322 is 22331201211.

11210213322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11210213295 and 11210213304.

It is not an unprimeable number, because it can be changed into a prime (11210213323) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1288804 + ... + 1297472.

It is an arithmetic number, because the mean of its divisors is an integer number (243453600).

Almost surely, 211210213322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11210213322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15581030400).

11210213322 is an abundant number, since it is smaller than the sum of its proper divisors (19951847478).

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

11210213322 is a wasteful number, since it uses less digits than its factorization.

11210213322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9009 (or 9003 counting only the distinct ones).

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

Adding to 11210213322 its reverse (22331201211), we get a palindrome (33541414533).

The spelling of 11210213322 in words is "eleven billion, two hundred ten million, two hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 311 378 462 594 622 693 933 1386 1866 2079 2177 2799 3421 4158 4354 5598 6531 6842 8397 8669 10263 13062 16794 17338 19593 20526 23947 26007 30789 39186 47894 52014 58779 60683 61578 71841 78021 92367 95359 117558 121366 143682 156042 182049 184734 190718 215523 234063 286077 364098 431046 468126 546147 572154 646569 667513 858231 1092294 1293138 1335026 1638441 1716462 2002539 2574693 2696059 3276882 4005078 5149386 5392118 6007617 8088177 12015234 16176354 18022851 18872413 24264531 29656649 36045702 37744826 48529062 56617239 59313298 72793593 88969947 113234478 145587186 169851717 177939894 207596543 266909841 339703434 415193086 509555151 533819682 622789629 800729523 1019110302 1245579258 1601459046 1868368887 3736737774 5605106661 11210213322