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320122013220 = 22355174798089
BaseRepresentation
bin1001010100010001100…
…00100100011000100100
31010121021212001012200000
410222020300210120210
520221102213410340
6403021221421300
732061631134042
oct4521060443044
91117255035600
10320122013220
11113843592699
125206026a830
13242588868c9
14116cb709392
1584d8ecbd30
hex4a88c24624

320122013220 has 288 divisors, whose sum is σ = 1068594508800. Its totient is φ = 80166703104.

The previous prime is 320122013213. The next prime is 320122013227. The reversal of 320122013220 is 22310221023.

320122013220 is a `hidden beast` number, since 320 + 1 + 2 + 20 + 1 + 322 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (320122013213) and next prime (320122013227).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 320122013193 and 320122013202.

It is not an unprimeable number, because it can be changed into a prime (320122013227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39570936 + ... + 39579024.

It is an arithmetic number, because the mean of its divisors is an integer number (3710397600).

Almost surely, 2320122013220 is an apocalyptic number.

320122013220 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 320122013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534297254400).

320122013220 is an abundant number, since it is smaller than the sum of its proper divisors (748472495580).

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

320122013220 is a wasteful number, since it uses less digits than its factorization.

320122013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8609 (or 8595 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 320122013220 its reverse (22310221023), we get a palindrome (342432234243).

The spelling of 320122013220 in words is "three hundred twenty billion, one hundred twenty-two million, thirteen thousand, two hundred twenty".