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13242120003 = 35721112129
BaseRepresentation
bin11000101010100101…
…01011011101000011
31021011212101101200000
430111102223131003
5204104440320003
610030000331043
7646103106600
oct142522533503
937155341600
1013242120003
115685916832
122696913a83
1313305b5788
148d89936a7
1552782b1a3
hex3154ab743

13242120003 has 36 divisors (see below), whose sum is σ = 23074473240. Its totient is φ = 7566918912.

The previous prime is 13242119993. The next prime is 13242120071. The reversal of 13242120003 is 30002124231.

13242120003 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 13242120003 - 24 = 13242119987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13242120803) 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 35 ways as a sum of consecutive naturals, for example, 544158 + ... + 567971.

It is an arithmetic number, because the mean of its divisors is an integer number (640957590).

Almost surely, 213242120003 is an apocalyptic number.

13242120003 is a deficient number, since it is larger than the sum of its proper divisors (9832353237).

13242120003 is an equidigital number, since it uses as much as digits as its factorization.

13242120003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112158 (or 1112139 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13242120003 its reverse (30002124231), we get a palindrome (43244244234).

The spelling of 13242120003 in words is "thirteen billion, two hundred forty-two million, one hundred twenty thousand, three".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 1323 1701 3969 11907 1112129 3336387 7784903 10009161 23354709 30027483 54494321 70064127 90082449 163482963 210192381 270247347 490448889 630577143 1471346667 1891731429 4414040001 13242120003