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220020120333 = 321310118618949
BaseRepresentation
bin1100110011101000111…
…0001001101100001101
3210000220120200011122200
43030322032021230031
512101100122322313
6245024214432113
721616206110526
oct3147216115415
9700816604580
10220020120333
11853456929a2
1236784362639
1317994c1cc20
14a912d2384d
155acad66b73
hex333a389b0d

220020120333 has 24 divisors (see below), whose sum is σ = 345642187800. Its totient is φ = 134056425600.

The previous prime is 220020120263. The next prime is 220020120337. The reversal of 220020120333 is 333021020022.

It is a happy number.

220020120333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 120934931049 + 99085189284 = 347757^2 + 314778^2 .

It is not a de Polignac number, because 220020120333 - 228 = 219751684877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220020120337) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9297658 + ... + 9321291.

It is an arithmetic number, because the mean of its divisors is an integer number (14401757825).

Almost surely, 2220020120333 is an apocalyptic number.

It is an amenable number.

220020120333 is a deficient number, since it is larger than the sum of its proper divisors (125622067467).

220020120333 is a wasteful number, since it uses less digits than its factorization.

220020120333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18619069 (or 18619066 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 220020120333 its reverse (333021020022), we get a palindrome (553041140355).

The spelling of 220020120333 in words is "two hundred twenty billion, twenty million, one hundred twenty thousand, three hundred thirty-three".

Divisors: 1 3 9 13 39 101 117 303 909 1313 3939 11817 18618949 55856847 167570541 242046337 726139011 1880513849 2178417033 5641541547 16924624641 24446680037 73340040111 220020120333