Search a number
-
+
12300103332121 = 113358933290399
BaseRepresentation
bin1011001011111101011101…
…0010100011000100011001
31121112212201100102221120011
42302333113102203010121
53103011102423111441
642054331154001521
72406440012155603
oct262772722430431
947485640387504
1012300103332121
113a12498739050
121467a138762a1
136b2b82a5a857
1430748473c173
15164e496e1581
hexb2fd74a3119

12300103332121 has 8 divisors (see below), whose sum is σ = 13418694432000. Its totient is φ = 11181578880240.

The previous prime is 12300103332079. The next prime is 12300103332149. The reversal of 12300103332121 is 12123330100321.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12300103332121 - 29 = 12300103331609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12300103332092 and 12300103332101.

It is not an unprimeable number, because it can be changed into a prime (12300103332161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16275721 + ... + 17014678.

It is an arithmetic number, because the mean of its divisors is an integer number (1677336804000).

Almost surely, 212300103332121 is an apocalyptic number.

12300103332121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12300103332121 is a deficient number, since it is larger than the sum of its proper divisors (1118591099879).

12300103332121 is a wasteful number, since it uses less digits than its factorization.

12300103332121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33323999.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12300103332121 its reverse (12123330100321), we get a palindrome (24423433432442).

The spelling of 12300103332121 in words is "twelve trillion, three hundred billion, one hundred three million, three hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 11 33589 369479 33290399 366194389 1118191212011 12300103332121