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2220120022020 = 22351571359117341
BaseRepresentation
bin100000010011101001011…
…101110001110000000100
321212020111222111112222020
4200103221131301300010
5242333301211201040
64415524205003140
7316253433551265
oct40235135616004
97766458445866
102220120022020
1178660296835a
122ba3358534b0
13131483092104
1479650b7a96c
153cb3c9c9cd0
hex204e9771c04

2220120022020 has 96 divisors (see below), whose sum is σ = 6256751644416. Its totient is φ = 588183897600.

The previous prime is 2220120021949. The next prime is 2220120022027. The reversal of 2220120022020 is 202200210222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2220120022027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 128018550 + ... + 128035890.

It is an arithmetic number, because the mean of its divisors is an integer number (65174496296).

Almost surely, 22220120022020 is an apocalyptic number.

2220120022020 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 2220120022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3128375822208).

2220120022020 is an abundant number, since it is smaller than the sum of its proper divisors (4036631622396).

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

2220120022020 is a wasteful number, since it uses less digits than its factorization.

2220120022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31101 (or 31099 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 2220120022020 its reverse (202200210222), we get a palindrome (2422320232242).

The spelling of 2220120022020 in words is "two trillion, two hundred twenty billion, one hundred twenty million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1570 1884 2355 3140 4710 9420 13591 17341 27182 34682 40773 52023 54364 67955 69364 81546 86705 104046 135910 163092 173410 203865 208092 260115 271820 346820 407730 520230 815460 1040460 2133787 2722537 4267574 5445074 6401361 8167611 8535148 10668935 10890148 12802722 13612685 16335222 21337870 25605444 27225370 32006805 32670444 40838055 42675740 54450740 64013610 81676110 128027220 163352220 235681531 471363062 707044593 942726124 1178407655 1414089186 2356815310 2828178372 3535222965 4713630620 7070445930 14140891860 37002000367 74004000734 111006001101 148008001468 185010001835 222012002202 370020003670 444024004404 555030005505 740040007340 1110060011010 2220120022020