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11442313212 = 22311214515431
BaseRepresentation
bin10101010100000001…
…11101011111111100
31002112102201201220020
422222000331133330
5141413213010322
65131224252140
7553360025511
oct125200753774
932472651806
1011442313212
114941984300
122274011050
131104762645
147a792b308
1546e81005c
hex2aa03d7fc

11442313212 has 72 divisors (see below), whose sum is σ = 29372171136. Its totient is φ = 3464340000.

The previous prime is 11442313189. The next prime is 11442313219. The reversal of 11442313212 is 21231324411.

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 (11442313219) 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 23 ways as a sum of consecutive naturals, for example, 2104137 + ... + 2109567.

Almost surely, 211442313212 is an apocalyptic number.

11442313212 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 11442313212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14686085568).

11442313212 is an abundant number, since it is smaller than the sum of its proper divisors (17929857924).

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

11442313212 is a wasteful number, since it uses less digits than its factorization.

11442313212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6911 (or 6898 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 11442313212 its reverse (21231324411), we get a palindrome (32673637623).

The spelling of 11442313212 in words is "eleven billion, four hundred forty-two million, three hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1451 1452 2902 4353 5431 5804 8706 10862 15961 16293 17412 21724 31922 32586 47883 59741 63844 65172 95766 119482 175571 179223 191532 238964 351142 358446 526713 657151 702284 716892 1053426 1314302 1971453 2106852 2628604 3942906 7880381 7885812 15760762 23641143 31521524 47282286 86684191 94564572 173368382 260052573 346736764 520105146 953526101 1040210292 1907052202 2860578303 3814104404 5721156606 11442313212