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13121042123 = 747353112979
BaseRepresentation
bin11000011100001001…
…10011011011001011
31020212102120000001002
430032010303123023
5203332441321443
610005553245215
7643103006060
oct141604633313
936772500032
1013121042123
115623539172
12266226380b
1313114a2067
148c6876c67
1551bdb12b8
hex30e1336cb

13121042123 has 16 divisors (see below), whose sum is σ = 15358049280. Its totient is φ = 10976038656.

The previous prime is 13121042117. The next prime is 13121042147. The reversal of 13121042123 is 32124012131.

13121042123 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 13121042123 - 24 = 13121042107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13121042095 and 13121042104.

It is not an unprimeable number, because it can be changed into a prime (13121042183) 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, 59648 + ... + 172626.

It is an arithmetic number, because the mean of its divisors is an integer number (959878080).

Almost surely, 213121042123 is an apocalyptic number.

13121042123 is a deficient number, since it is larger than the sum of its proper divisors (2237007157).

13121042123 is a wasteful number, since it uses less digits than its factorization.

13121042123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113386.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13121042123 its reverse (32124012131), we get a palindrome (45245054254).

The spelling of 13121042123 in words is "thirteen billion, one hundred twenty-one million, forty-two thousand, one hundred twenty-three".

Divisors: 1 7 47 329 353 2471 16591 112979 116137 790853 5310013 37170091 39881587 279171109 1874434589 13121042123