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11442004212 = 22319233136971
BaseRepresentation
bin10101010011111111…
…10010000011110100
31002112102011001000210
422221333302003310
5141413123113322
65131213505420
7553354300602
oct125177620364
932472131023
1011442004212
114941793131
122273aa2270
131104684ac2
147a788a872
1546e79d70c
hex2a9ff20f4

11442004212 has 96 divisors (see below), whose sum is σ = 29422955520. Its totient is φ = 3444629760.

The previous prime is 11442004199. The next prime is 11442004213. The reversal of 11442004212 is 21240024411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11442004213) 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 31 ways as a sum of consecutive naturals, for example, 1637887 + ... + 1644857.

It is an arithmetic number, because the mean of its divisors is an integer number (306489120).

Almost surely, 211442004212 is an apocalyptic number.

11442004212 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 11442004212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14711477760).

11442004212 is an abundant number, since it is smaller than the sum of its proper divisors (17980951308).

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

11442004212 is a wasteful number, since it uses less digits than its factorization.

11442004212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7333 (or 7331 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 11442004212 its reverse (21240024411), we get a palindrome (32682028623).

The spelling of 11442004212 in words is "eleven billion, four hundred forty-two million, four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 313 437 626 874 939 1252 1311 1748 1878 2622 3756 5244 5947 6971 7199 11894 13942 14398 17841 20913 21597 23788 27884 28796 35682 41826 43194 71364 83652 86388 132449 136781 160333 264898 273562 320666 397347 410343 480999 529796 547124 641332 794694 820686 961998 1589388 1641372 1923996 2181923 3046327 4363846 6092654 6545769 8727692 9138981 12185308 13091538 18277962 26183076 36555924 41456537 50184229 82913074 100368458 124369611 150552687 165826148 200736916 248739222 301105374 497478444 602210748 953500351 1907000702 2860501053 3814001404 5721002106 11442004212