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13501214433 = 337414340519
BaseRepresentation
bin11001001001011110…
…00010111011100001
31021211220220202102000
430210233002323201
5210122302330213
610111413514213
7655400300130
oct144457027341
937756822360
1013501214433
1157a90a1263
122749642969
1313721907a5
14921159917
15540459c73
hex324bc2ee1

13501214433 has 64 divisors (see below), whose sum is σ = 23961907200. Its totient is φ = 7351585920.

The previous prime is 13501214431. The next prime is 13501214483. The reversal of 13501214433 is 33441210531.

It is a happy number.

13501214433 is a `hidden beast` number, since 13 + 5 + 0 + 1 + 214 + 433 = 666.

13501214433 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 13501214433 - 21 = 13501214431 is a prime.

It is a super-2 number, since 2×135012144332 (a number of 21 digits) contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13501214397 and 13501214406.

It is not an unprimeable number, because it can be changed into a prime (13501214431) 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, 312948 + ... + 353466.

It is an arithmetic number, because the mean of its divisors is an integer number (374404800).

Almost surely, 213501214433 is an apocalyptic number.

It is an amenable number.

13501214433 is a deficient number, since it is larger than the sum of its proper divisors (10460692767).

13501214433 is a wasteful number, since it uses less digits than its factorization.

13501214433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40619 (or 40613 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13501214433 its reverse (33441210531), we get a palindrome (46942424964).

The spelling of 13501214433 in words is "thirteen billion, five hundred one million, two hundred fourteen thousand, four hundred thirty-three".

Divisors: 1 3 7 9 21 27 41 43 63 123 129 189 287 301 369 387 861 903 1107 1161 1763 2583 2709 5289 7749 8127 12341 15867 37023 40519 47601 111069 121557 283633 333207 364671 850899 1094013 1661279 1742317 2552697 4983837 5226951 7658091 11628953 12196219 14951511 15680853 34886859 36588657 44854533 47042559 71434997 104660577 109765971 214304991 313981731 329297913 500044979 642914973 1500134937 1928744919 4500404811 13501214433