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12302331233301 = 324607329668693
BaseRepresentation
bin1011001100000101110000…
…0101010100010000010101
31121120002110121122001102200
42303001130011110100111
53103030133243431201
642055340221355113
72406546144052404
oct263013405242025
947502417561380
1012302331233301
113a1343129519a
121468335a08a99
136b31494aaa85
1430761659d63b
1516502a0c0386
hexb305c154415

12302331233301 has 12 divisors (see below), whose sum is σ = 17770420295628. Its totient is φ = 8201375866944.

The previous prime is 12302331233267. The next prime is 12302331233327. The reversal of 12302331233301 is 10333213320321.

12302331233301 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 2 + 331 + 23 + 3 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4909636692900 + 7392694540401 = 2215770^2 + 2718951^2 .

It is not a de Polignac number, because 12302331233301 - 222 = 12302327038997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302331633301) 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 11 ways as a sum of consecutive naturals, for example, 14419690 + ... + 15249003.

It is an arithmetic number, because the mean of its divisors is an integer number (1480868357969).

Almost surely, 212302331233301 is an apocalyptic number.

It is an amenable number.

12302331233301 is a deficient number, since it is larger than the sum of its proper divisors (5468089062327).

12302331233301 is a wasteful number, since it uses less digits than its factorization.

12302331233301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29714772 (or 29714769 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 12302331233301 its reverse (10333213320321), we get a palindrome (22635544553622).

The spelling of 12302331233301 in words is "twelve trillion, three hundred two billion, three hundred thirty-one million, two hundred thirty-three thousand, three hundred one".

Divisors: 1 3 9 46073 138219 414657 29668693 89006079 267018237 1366925692589 4100777077767 12302331233301