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123300203121 = 32127910711511
BaseRepresentation
bin111001011010101000…
…0111100101001110001
3102210021000002022002200
41302311100330221301
54010004322444441
6132350543133413
711623331301564
oct1626520745161
9383230068080
10123300203121
1148322828617
121ba90ba4269
13b81cb3ac94
145d797764db
153319a987b6
hex1cb543ca71

123300203121 has 12 divisors (see below), whose sum is σ = 178239559680. Its totient is φ = 82135858680.

The previous prime is 123300203111. The next prime is 123300203141. The reversal of 123300203121 is 121302003321.

123300203121 is a `hidden beast` number, since 1 + 2 + 330 + 0 + 20 + 312 + 1 = 666.

It is not a de Polignac number, because 123300203121 - 213 = 123300194929 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123300203094 and 123300203103.

It is not an unprimeable number, because it can be changed into a prime (123300203111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5344245 + ... + 5367266.

It is an arithmetic number, because the mean of its divisors is an integer number (14853296640).

Almost surely, 2123300203121 is an apocalyptic number.

It is an amenable number.

123300203121 is a deficient number, since it is larger than the sum of its proper divisors (54939356559).

123300203121 is a wasteful number, since it uses less digits than its factorization.

123300203121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10712796 (or 10712793 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 123300203121 its reverse (121302003321), we get a palindrome (244602206442).

The spelling of 123300203121 in words is "one hundred twenty-three billion, three hundred million, two hundred three thousand, one hundred twenty-one".

Divisors: 1 3 9 1279 3837 11511 10711511 32134533 96403599 13700022569 41100067707 123300203121