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230120221320 = 233351122138753
BaseRepresentation
bin1101011001010000111…
…0111110101010001000
3210222222110210110112000
43112110032332222020
512232241234040240
6253414334551000
722424410415223
oct3262416765210
9728873713460
10230120221320
11896589582a0
1238722968460
1318914587b42
14b1d04a25ba
155ebc8e9430
hex35943bea88

230120221320 has 256 divisors, whose sum is σ = 837274579200. Its totient is φ = 55755141120.

The previous prime is 230120221313. The next prime is 230120221339. The reversal of 230120221320 is 23122021032.

230120221320 is a `hidden beast` number, since 2 + 3 + 0 + 120 + 221 + 320 = 666.

230120221320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 230120221293 and 230120221302.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 26286064 + ... + 26294816.

It is an arithmetic number, because the mean of its divisors is an integer number (3270603825).

Almost surely, 2230120221320 is an apocalyptic number.

230120221320 is a gapful number since it is divisible by the number (20) 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 230120221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418637289600).

230120221320 is an abundant number, since it is smaller than the sum of its proper divisors (607154357880).

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

230120221320 is a wasteful number, since it uses less digits than its factorization.

230120221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10997 (or 10987 counting only the distinct ones).

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

Adding to 230120221320 its reverse (23122021032), we get a palindrome (253242242352).

The spelling of 230120221320 in words is "two hundred thirty billion, one hundred twenty million, two hundred twenty-one thousand, three hundred twenty".