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12230203330321 = 1738915361120397
BaseRepresentation
bin1011000111111001000011…
…1011001100111100010001
31121022012021220020221102121
42301332100323030330101
53100334424023032241
642002251114214241
72401413561023104
oct261762073147421
947265256227377
1012230203330321
113995888a37119
121456366424381
136a93c3255c42
14303d3311673b
15163207c84ad1
hexb1f90eccf11

12230203330321 has 16 divisors (see below), whose sum is σ = 12983869613520. Its totient is φ = 11480346132480.

The previous prime is 12230203330277. The next prime is 12230203330333. The reversal of 12230203330321 is 12303330203221.

It can be written as a sum of positive squares in 8 ways, for example, as 1257123076225 + 10973080254096 = 1121215^2 + 3312564^2 .

It is a cyclic number.

It is not a de Polignac number, because 12230203330321 - 233 = 12221613395729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12230203330391) 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 15 ways as a sum of consecutive naturals, for example, 101522095 + ... + 101642491.

It is an arithmetic number, because the mean of its divisors is an integer number (811491850845).

Almost surely, 212230203330321 is an apocalyptic number.

It is an amenable number.

12230203330321 is a deficient number, since it is larger than the sum of its proper divisors (753666283199).

12230203330321 is a wasteful number, since it uses less digits than its factorization.

12230203330321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136164.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 12230203330321 its reverse (12303330203221), we get a palindrome (24533533533542).

The spelling of 12230203330321 in words is "twelve trillion, two hundred thirty billion, two hundred three million, three hundred thirty thousand, three hundred twenty-one".

Divisors: 1 17 389 6613 15361 120397 261137 2046749 5975429 46834433 101582293 796185361 1849418317 31440111389 719423725313 12230203330321