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11321220222 = 23213479471087
BaseRepresentation
bin10101000101100110…
…00001110001111110
31002012222212120112200
422202303001301332
5141141213021342
65111221012330
7550356532644
oct124263016176
932188776480
1011321220222
11488a596354
12223b5540a6
1310b56450a0
14795809194
15463d9094c
hex2a2cc1c7e

11321220222 has 96 divisors (see below), whose sum is σ = 27031560192. Its totient is φ = 3402603072.

The previous prime is 11321220221. The next prime is 11321220223. The reversal of 11321220222 is 22202212311.

11321220222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11321220221) and next prime (11321220223).

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 = 11321220195 and 11321220204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11321220221) 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 47 ways as a sum of consecutive naturals, for example, 10414563 + ... + 10415649.

It is an arithmetic number, because the mean of its divisors is an integer number (281578752).

Almost surely, 211321220222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11321220222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13515780096).

11321220222 is an abundant number, since it is smaller than the sum of its proper divisors (15710339970).

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

11321220222 is a wasteful number, since it uses less digits than its factorization.

11321220222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11321220222 its reverse (22202212311), we get a palindrome (33523432533).

The spelling of 11321220222 in words is "eleven billion, three hundred twenty-one million, two hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 47 78 94 117 141 234 282 423 611 846 947 1087 1222 1833 1894 2174 2841 3261 3666 5499 5682 6522 8523 9783 10998 12311 14131 17046 19566 24622 28262 36933 42393 44509 51089 73866 84786 89018 102178 110799 127179 133527 153267 221598 254358 267054 306534 400581 459801 578617 664157 801162 919602 1029389 1157234 1328314 1735851 1992471 2058778 3088167 3471702 3984942 5207553 5977413 6176334 9264501 10415106 11954826 13382057 18529002 26764114 40146171 48381283 80292342 96762566 120438513 145143849 240877026 290287698 435431547 628956679 870863094 1257913358 1886870037 3773740074 5660610111 11321220222