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13122320321 = 111936181027
BaseRepresentation
bin11000011100010011…
…01011011111000001
31020212111221221101202
430032021223133001
5203333303222241
610010040510545
7643116611435
oct141611533701
936774857352
1013122320321
115624231530
12266277b455
13131182baa6
148c6aca9c5
1551c064d9b
hex30e26b7c1

13122320321 has 8 divisors (see below), whose sum is σ = 14389433184. Its totient is φ = 11867569920.

The previous prime is 13122320317. The next prime is 13122320333. The reversal of 13122320321 is 12302322131.

13122320321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 13122320321 - 22 = 13122320317 is a prime.

It is a super-3 number, since 3×131223203213 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13122320293 and 13122320302.

It is not an unprimeable number, because it can be changed into a prime (13122320381) 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 7 ways as a sum of consecutive naturals, for example, 3088391 + ... + 3092636.

It is an arithmetic number, because the mean of its divisors is an integer number (1798679148).

Almost surely, 213122320321 is an apocalyptic number.

13122320321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13122320321 is a deficient number, since it is larger than the sum of its proper divisors (1267112863).

13122320321 is a wasteful number, since it uses less digits than its factorization.

13122320321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6181231.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13122320321 its reverse (12302322131), we get a palindrome (25424642452).

The spelling of 13122320321 in words is "thirteen billion, one hundred twenty-two million, three hundred twenty thousand, three hundred twenty-one".

Divisors: 1 11 193 2123 6181027 67991297 1192938211 13122320321