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13243431201 = 37111337119191
BaseRepresentation
bin11000101010101111…
…01011100100100001
31021011221212000021220
430111113223210201
5204110304244301
610030044405253
7646120210410
oct142527534441
937157760256
1013243431201
115686631970
122697246829
131330954530
148d8c15477
155279d9936
hex3155eb921

13243431201 has 64 divisors (see below), whose sum is σ = 24349495296. Its totient is φ = 6178809600.

The previous prime is 13243431193. The next prime is 13243431203. The reversal of 13243431201 is 10213434231.

It is a happy number.

13243431201 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 13243431201 - 23 = 13243431193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13243431203) 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, 51516 + ... + 170706.

It is an arithmetic number, because the mean of its divisors is an integer number (380460864).

Almost surely, 213243431201 is an apocalyptic number.

13243431201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13243431201 is a deficient number, since it is larger than the sum of its proper divisors (11106064095).

13243431201 is a wasteful number, since it uses less digits than its factorization.

13243431201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119262.

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

Adding to 13243431201 its reverse (10213434231), we get a palindrome (23456865432).

It can be divided in two parts, 13243 and 431201, that added together give a palindrome (444444).

The spelling of 13243431201 in words is "thirteen billion, two hundred forty-three million, four hundred thirty-one thousand, two hundred one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 15873 37037 111111 119191 357573 834337 1311101 1549483 2503011 3933303 4410067 4648449 9177707 10846381 13230201 17044313 27533121 30870469 32539143 48510737 51132939 57330871 92611407 119310191 145532211 171992613 339575159 357930573 401316097 630639581 1018725477 1203948291 1891918743 4414477067 13243431201