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320121230220 = 223351161883483
BaseRepresentation
bin1001010100010001011…
…01100101001110001100
31010121021210120102121000
410222020231211032030
520221102013331340
6403021152540300
732061621363201
oct4521055451614
91117253512530
10320121230220
111138430a8390
125205bb51690
13242586713ac
14116cb583ca8
1584d8dc4d30
hex4a88b6538c

320121230220 has 192 divisors, whose sum is σ = 1104284321280. Its totient is φ = 76332844800.

The previous prime is 320121230213. The next prime is 320121230249. The reversal of 320121230220 is 22032121023.

320121230220 is a `hidden beast` number, since 3 + 201 + 212 + 30 + 220 = 666.

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 = 320121230193 and 320121230202.

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, 79402 + ... + 804081.

It is an arithmetic number, because the mean of its divisors is an integer number (5751480840).

Almost surely, 2320121230220 is an apocalyptic number.

320121230220 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 320121230220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552142160640).

320121230220 is an abundant number, since it is smaller than the sum of its proper divisors (784163091060).

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

320121230220 is a wasteful number, since it uses less digits than its factorization.

320121230220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883573 (or 883565 counting only the distinct ones).

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

Adding to 320121230220 its reverse (22032121023), we get a palindrome (342153351243).

The spelling of 320121230220 in words is "three hundred twenty billion, one hundred twenty-one million, two hundred thirty thousand, two hundred twenty".