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13042403253 = 3211235727889
BaseRepresentation
bin11000010010110001…
…10100011110110101
31020122221120201210100
430021120310132311
5203202323401003
65554103544313
7641126412165
oct141130643665
936587521710
1013042403253
115593107670
12263ba5b099
1312cb0ca399
148ba2465a5
1551502aba3
hex3096347b5

13042403253 has 24 divisors (see below), whose sum is σ = 21445220160. Its totient is φ = 7560812160.

The previous prime is 13042403249. The next prime is 13042403279. The reversal of 13042403253 is 35230424031.

13042403253 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 2 + 403 + 253 = 666.

13042403253 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 13042403253 - 22 = 13042403249 is a prime.

It is a super-2 number, since 2×130424032532 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13042403203) 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 23 ways as a sum of consecutive naturals, for example, 2861668 + ... + 2866221.

It is an arithmetic number, because the mean of its divisors is an integer number (893550840).

Almost surely, 213042403253 is an apocalyptic number.

It is an amenable number.

13042403253 is a deficient number, since it is larger than the sum of its proper divisors (8402816907).

13042403253 is a wasteful number, since it uses less digits than its factorization.

13042403253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5727929 (or 5727926 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 13042403253 its reverse (35230424031), we get a palindrome (48272827284).

The spelling of 13042403253 in words is "thirteen billion, forty-two million, four hundred three thousand, two hundred fifty-three".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 5727889 17183667 51551001 63006779 131741447 189020337 395224341 567061011 1185673023 1449155917 4347467751 13042403253