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13442013123 = 371164789939
BaseRepresentation
bin11001000010011010…
…01101011111000011
31021200210112000110220
430201031031133003
5210012123404443
610101500554123
7654051140430
oct144115153703
937623460426
1013442013123
115778736460
122731852943
131362b33226
14917348b87
1553a163a83
hex32134d7c3

13442013123 has 32 divisors (see below), whose sum is σ = 22379950080. Its totient is φ = 6971993760.

The previous prime is 13442013103. The next prime is 13442013127. The reversal of 13442013123 is 32131024431.

It is a happy number.

13442013123 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 13442013123 - 26 = 13442013059 is a prime.

It is a super-3 number, since 3×134420131233 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13442013093 and 13442013102.

It is not an unprimeable number, because it can be changed into a prime (13442013127) 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 31 ways as a sum of consecutive naturals, for example, 104488 + ... + 194426.

It is an arithmetic number, because the mean of its divisors is an integer number (699373440).

Almost surely, 213442013123 is an apocalyptic number.

13442013123 is a deficient number, since it is larger than the sum of its proper divisors (8937936957).

13442013123 is a wasteful number, since it uses less digits than its factorization.

13442013123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90607.

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

Adding to 13442013123 its reverse (32131024431), we get a palindrome (45573037554).

The spelling of 13442013123 in words is "thirteen billion, four hundred forty-two million, thirteen thousand, one hundred twenty-three".

Divisors: 1 3 7 11 21 33 77 231 647 1941 4529 7117 13587 21351 49819 89939 149457 269817 629573 989329 1888719 2967987 6925303 20775909 58190533 174571599 407333731 640095863 1222001193 1920287589 4480671041 13442013123