Search a number
-
+
220103066520 = 2332531157125621
BaseRepresentation
bin1100110011111100101…
…0100100001110011000
3210001010100202021102200
43030333022210032120
512101232341112040
6245040340330200
721621234124251
oct3147712441630
9701110667380
10220103066520
1185388496667
12367a80a3960
13179a91722cc
14a91dd55b28
155ad329d630
hex333f2a4398

220103066520 has 192 divisors, whose sum is σ = 743119453440. Its totient is φ = 56438553600.

The previous prime is 220103066479. The next prime is 220103066569. The reversal of 220103066520 is 25660301022.

220103066520 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 0 + 3 + 0 + 6 + 652 + 0 = 666.

220103066520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1689310 + ... + 1814930.

It is an arithmetic number, because the mean of its divisors is an integer number (3870413820).

Almost surely, 2220103066520 is an apocalyptic number.

220103066520 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 220103066520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371559726720).

220103066520 is an abundant number, since it is smaller than the sum of its proper divisors (523016386920).

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

220103066520 is a wasteful number, since it uses less digits than its factorization.

220103066520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125826 (or 125819 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 220103066520 its reverse (25660301022), we get a palindrome (245763367542).

The spelling of 220103066520 in words is "two hundred twenty billion, one hundred three million, sixty-six thousand, five hundred twenty".