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320113333013220 = 223353748017333667
BaseRepresentation
bin100100011001001000011000…
…1100000001000101011100100
31112222102112110120110200111000
41020302100301200020223210
5313424214101222410340
63052454011322113300
7124266265544313105
oct11062206140105344
91488375416420430
10320113333013220
1192aa833616a84a
122baa013764b830
1310980733586406
1459097d47a83ac
152701d38211d30
hex1232431808ae4

320113333013220 has 192 divisors, whose sum is σ = 1022848950332160. Its totient is φ = 83054453704704.

The previous prime is 320113333013197. The next prime is 320113333013231. The reversal of 320113333013220 is 22310333311023.

320113333013220 is a `hidden beast` number, since 3 + 2 + 0 + 1 + 1 + 3 + 3 + 330 + 1 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 959212827 + ... + 959546493.

It is an arithmetic number, because the mean of its divisors is an integer number (5327338282980).

Almost surely, 2320113333013220 is an apocalyptic number.

320113333013220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320113333013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511424475166080).

320113333013220 is an abundant number, since it is smaller than the sum of its proper divisors (702735617318940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

320113333013220 is a wasteful number, since it uses less digits than its factorization.

320113333013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381739 (or 381731 counting only the distinct ones).

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

Adding to 320113333013220 its reverse (22310333311023), we get a palindrome (342423666324243).

It can be divided in two parts, 320113 and 333013220, that added together give a palindrome (333333333).

The spelling of 320113333013220 in words is "three hundred twenty trillion, one hundred thirteen billion, three hundred thirty-three million, thirteen thousand, two hundred twenty".