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11321212212 = 2234297871531
BaseRepresentation
bin10101000101100101…
…11111110100110100
31002012222212011120000
422202302333310310
5141141212242322
65111220511300
7550356500412
oct124262776464
932188764500
1011321212212
11488a590332
12223b54b530
1310b564154b
147958062b2
15463d8d3ac
hex2a2cbfd34

11321212212 has 120 divisors (see below), whose sum is σ = 30675358560. Its totient is φ = 3636601920.

The previous prime is 11321212211. The next prime is 11321212267. The reversal of 11321212212 is 21221212311.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11321212211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7393887 + ... + 7395417.

It is an arithmetic number, because the mean of its divisors is an integer number (255627988).

Almost surely, 211321212212 is an apocalyptic number.

11321212212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11321212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15337679280).

11321212212 is an abundant number, since it is smaller than the sum of its proper divisors (19354146348).

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

11321212212 is a wasteful number, since it uses less digits than its factorization.

11321212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2352 counting only the distinct ones).

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

Adding to 11321212212 its reverse (21221212311), we get a palindrome (32542424523).

Subtracting 11321212212 from its reverse (21221212311), we obtain a palindrome (9900000099).

The spelling of 11321212212 in words is "eleven billion, three hundred twenty-one million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 787 1044 1531 1566 1574 2349 2361 3062 3132 3148 4593 4698 4722 6124 7083 9186 9396 9444 13779 14166 18372 21249 22823 27558 28332 41337 42498 44399 45646 55116 63747 68469 82674 84996 88798 91292 124011 127494 133197 136938 165348 177596 205407 248022 254988 266394 273876 399591 410814 496044 532788 616221 799182 821628 1198773 1204897 1232442 1598364 1848663 2397546 2409794 2464884 3596319 3614691 3697326 4795092 4819588 7192638 7229382 7394652 10844073 14385276 14458764 21688146 32532219 34942013 43376292 65064438 69884026 97596657 104826039 130128876 139768052 195193314 209652078 314478117 390386628 419304156 628956234 943434351 1257912468 1886868702 2830303053 3773737404 5660606106 11321212212