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11433314241 = 333761373503
BaseRepresentation
bin10101010010111101…
…01000011111000001
31002111210210112122000
422221132220133001
5141403412023431
65130303334213
7553220365446
oct125136503701
932453715560
1011433314241
114937898238
122270bb1369
1311029315cb
147a66679cd
1546db339e6
hex2a97a87c1

11433314241 has 64 divisors (see below), whose sum is σ = 17763863040. Its totient is φ = 7260606720.

The previous prime is 11433314203. The next prime is 11433314279. The reversal of 11433314241 is 14241333411.

11433314241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11433314203) and next prime (11433314279).

It is not a de Polignac number, because 11433314241 - 29 = 11433313729 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11433314281) 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 63 ways as a sum of consecutive naturals, for example, 22729996 + ... + 22730498.

It is an arithmetic number, because the mean of its divisors is an integer number (277560360).

Almost surely, 211433314241 is an apocalyptic number.

It is an amenable number.

11433314241 is a deficient number, since it is larger than the sum of its proper divisors (6330548799).

11433314241 is a wasteful number, since it uses less digits than its factorization.

11433314241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 977 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 11433314241 its reverse (14241333411), we get a palindrome (25674647652).

The spelling of 11433314241 in words is "eleven billion, four hundred thirty-three million, three hundred fourteen thousand, two hundred forty-one".

Divisors: 1 3 9 27 37 61 111 183 333 373 503 549 999 1119 1509 1647 2257 3357 4527 6771 10071 13581 13801 18611 20313 22753 30683 41403 55833 60939 68259 92049 124209 167499 187619 204777 276147 372627 502497 562857 614331 828441 841861 1135271 1688571 2525583 3405813 5065713 6941903 7576749 10217439 11444759 20825709 22730247 30652317 34334277 62477127 103002831 187431381 309008493 423456083 1270368249 3811104747 11433314241