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220121020020 = 223511333516697
BaseRepresentation
bin1100110100000000111…
…1000011011001110100
3210001011121112102000010
43031000033003121310
512101301440120040
6245042221220220
721621542540646
oct3150017033164
9701147472003
10220121020020
1185397639370
12367b2101670
13179acaba095
14a9224aa896
155ad4b47e80
hex33403c3674

220121020020 has 48 divisors (see below), whose sum is σ = 672369663168. Its totient is φ = 53362671360.

The previous prime is 220121019997. The next prime is 220121020033. The reversal of 220121020020 is 20020121022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220121019978 and 220121020005.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 166757689 + ... + 166759008.

It is an arithmetic number, because the mean of its divisors is an integer number (14007701316).

Almost surely, 2220121020020 is an apocalyptic number.

220121020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220121020020 is an abundant number, since it is smaller than the sum of its proper divisors (452248643148).

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

220121020020 is a wasteful number, since it uses less digits than its factorization.

220121020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333516720 (or 333516718 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220121020020 its reverse (20020121022), we get a palindrome (240141141042).

The spelling of 220121020020 in words is "two hundred twenty billion, one hundred twenty-one million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 333516697 667033394 1000550091 1334066788 1667583485 2001100182 3335166970 3668683667 4002200364 5002750455 6670333940 7337367334 10005500910 11006051001 14674734668 18343418335 20011001820 22012102002 36686836670 44024204004 55030255005 73373673340 110060510010 220121020020