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11442233231 = 11213173791129
BaseRepresentation
bin10101010100000001…
…01001111110001111
31002112102120200011222
422222000221332033
5141413202430411
65131222433555
7553356243362
oct125200517617
932472520158
1011442233231
11494192a200
122273b928bb
131104735110
147a790a0d9
1546e7e64db
hex2aa029f8f

11442233231 has 48 divisors (see below), whose sum is σ = 14391770400. Its totient is φ = 9005230080.

The previous prime is 11442233191. The next prime is 11442233293. The reversal of 11442233231 is 13233224411.

11442233231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11442233231 - 226 = 11375124367 is a prime.

It is a super-2 number, since 2×114422332312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11442233231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11442233431) 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, 10134275 + ... + 10135403.

It is an arithmetic number, because the mean of its divisors is an integer number (299828550).

Almost surely, 211442233231 is an apocalyptic number.

11442233231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11442233231 is a deficient number, since it is larger than the sum of its proper divisors (2949537169).

11442233231 is a wasteful number, since it uses less digits than its factorization.

11442233231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1549 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

Adding to 11442233231 its reverse (13233224411), we get a palindrome (24675457642).

The spelling of 11442233231 in words is "eleven billion, four hundred forty-two million, two hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 11 13 17 121 143 187 221 379 1129 1573 2057 2431 4169 4927 6443 12419 14677 19193 26741 45859 54197 70873 83759 136609 161447 211123 249509 427891 596167 779603 921349 1775917 2322353 2744599 4706801 5562583 7274147 10134839 30190589 51774811 61188413 80015617 94563911 673072543 880171787 1040203021 11442233231