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14535103341 = 3112198325391
BaseRepresentation
bin11011000100101110…
…00001001101101101
31101111222100202100210
431202113001031231
5214231441301331
610402145413033
71023123224403
oct154227011555
941458322323
1014535103341
116189761300
12299793a179
1314a8434a85
149bc5a9473
155a10d2446
hex3625c136d

14535103341 has 48 divisors (see below), whose sum is σ = 22694353920. Its totient is φ = 8244640800.

The previous prime is 14535103339. The next prime is 14535103361. The reversal of 14535103341 is 14330153541.

14535103341 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 14535103341 - 21 = 14535103339 is a prime.

It is a super-2 number, since 2×145351033412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14535103299 and 14535103308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14535103301) 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, 559756 + ... + 585146.

It is an arithmetic number, because the mean of its divisors is an integer number (472799040).

Almost surely, 214535103341 is an apocalyptic number.

14535103341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14535103341 is a deficient number, since it is larger than the sum of its proper divisors (8159250579).

14535103341 is a wasteful number, since it uses less digits than its factorization.

14535103341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25518 (or 25507 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 14535103341 its reverse (14330153541), we get a palindrome (28865256882).

The spelling of 14535103341 in words is "fourteen billion, five hundred thirty-five million, one hundred three thousand, three hundred forty-one".

Divisors: 1 3 11 19 33 57 83 121 209 249 363 627 913 1577 2299 2739 4731 6897 10043 17347 25391 30129 52041 76173 190817 279301 482429 572451 837903 1447287 2107453 3072311 5306719 6322359 9216933 15920157 23181983 40041607 58373909 69545949 120124821 175121727 255001813 440457677 765005439 1321373031 4845034447 14535103341