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13242001123 = 135935948091
BaseRepresentation
bin11000101010100100…
…01110011011100011
31021011212011100121001
430111102032123203
5204104423013443
610025554012431
7646102103161
oct142522163343
937155140531
1013242001123
11568584548a
122696877117
131330573630
148d8962231
15527805d4d
hex31548e6e3

13242001123 has 16 divisors (see below), whose sum is σ = 14543020800. Its totient is φ = 11982489120.

The previous prime is 13242001121. The next prime is 13242001153. The reversal of 13242001123 is 32110024231.

It is a happy number.

13242001123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13242001123 - 21 = 13242001121 is a prime.

It is a super-2 number, since 2×132420011232 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13242001123.

It is not an unprimeable number, because it can be changed into a prime (13242001121) 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 15 ways as a sum of consecutive naturals, for example, 251308 + ... + 299398.

It is an arithmetic number, because the mean of its divisors is an integer number (908938800).

Almost surely, 213242001123 is an apocalyptic number.

13242001123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13242001123 is a deficient number, since it is larger than the sum of its proper divisors (1301019677).

13242001123 is a wasteful number, since it uses less digits than its factorization.

13242001123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48522.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 13242001123 its reverse (32110024231), we get a palindrome (45352025354).

The spelling of 13242001123 in words is "thirteen billion, two hundred forty-two million, one thousand, one hundred twenty-three".

Divisors: 1 13 59 359 767 4667 21181 48091 275353 625183 2837369 17264669 36885797 224440697 1018615471 13242001123