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320012212013 = 1380930428089
BaseRepresentation
bin1001010100000100011…
…01101101011100101101
31010121000012102201201122
410222002031231130231
520220341111241023
6403002300150325
732056125630644
oct4520215553455
91117005381648
10320012212013
1111379760739a
125202b5383a5
132423bbc0b90
14116bacc635b
1584ce53d2c8
hex4a8236d72d

320012212013 has 8 divisors (see below), whose sum is σ = 345054540600. Its totient is φ = 295030741248.

The previous prime is 320012212007. The next prime is 320012212099. The reversal of 320012212013 is 310212210023.

It can be written as a sum of positive squares in 4 ways, for example, as 55895362084 + 264116849929 = 236422^2 + 513923^2 .

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 320012212013 - 224 = 319995434797 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 320012211982 and 320012212000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320012212213) 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 7 ways as a sum of consecutive naturals, for example, 15203528 + ... + 15224561.

It is an arithmetic number, because the mean of its divisors is an integer number (43131817575).

Almost surely, 2320012212013 is an apocalyptic number.

It is an amenable number.

320012212013 is a deficient number, since it is larger than the sum of its proper divisors (25042328587).

320012212013 is a wasteful number, since it uses less digits than its factorization.

320012212013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30428911.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 320012212013 its reverse (310212210023), we get a palindrome (630224422036).

The spelling of 320012212013 in words is "three hundred twenty billion, twelve million, two hundred twelve thousand, thirteen".

Divisors: 1 13 809 10517 30428089 395565157 24616324001 320012212013