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11330212344 = 23311237872371
BaseRepresentation
bin10101000110101010…
…10101000111111000
31002020121210102102020
422203111111013320
5141201013243334
65112141434440
7550526134023
oct124325250770
932217712366
1011330212344
114894678260
12224256ba20
1310b7472c79
14796aaa1ba
15464a69e49
hex2a35551f8

11330212344 has 128 divisors (see below), whose sum is σ = 32298670080. Its totient is φ = 3278563200.

The previous prime is 11330212339. The next prime is 11330212357. The reversal of 11330212344 is 44321203311.

It is a happy number.

11330212344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4777479 + ... + 4779849.

It is an arithmetic number, because the mean of its divisors is an integer number (252333360).

Almost surely, 211330212344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11330212344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16149335040).

11330212344 is an abundant number, since it is smaller than the sum of its proper divisors (20968457736).

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

11330212344 is a wasteful number, since it uses less digits than its factorization.

11330212344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11330212344 its reverse (44321203311), we get a palindrome (55651415655).

The spelling of 11330212344 in words is "eleven billion, three hundred thirty million, two hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 787 1012 1518 1574 2024 2361 2371 3036 3148 4722 4742 6072 6296 7113 8657 9444 9484 14226 17314 18101 18888 18968 25971 26081 28452 34628 36202 51942 52162 54303 54533 56904 69256 72404 78243 103884 104324 108606 109066 144808 156486 163599 199111 207768 208648 217212 218132 312972 327198 398222 434424 436264 597333 599863 625944 654396 796444 1194666 1199726 1308792 1592888 1799589 1865977 2389332 2399452 3599178 3731954 4778664 4798904 5597931 7198356 7463908 11195862 14396712 14927816 20525747 22391724 41051494 42917471 44783448 61577241 82102988 85834942 123154482 128752413 164205976 171669884 246308964 257504826 343339768 472092181 492617928 515009652 944184362 1030019304 1416276543 1888368724 2832553086 3776737448 5665106172 11330212344