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12022010020 = 22517127727689
BaseRepresentation
bin10110011001001000…
…10101000010100100
31011000211112101102101
423030210111002210
5144110113310040
65304533221444
7603626253616
oct131444250244
934024471371
1012022010020
11510a125079
1223b6191884
13119789cac7
1482090adb6
154a566c09a
hex2cc9150a4

12022010020 has 48 divisors (see below), whose sum is σ = 26753191920. Its totient is φ = 4522225664.

The previous prime is 12022009933. The next prime is 12022010023. The reversal of 12022010020 is 2001022021.

It can be written as a sum of positive squares in 8 ways, for example, as 109160704 + 11912849316 = 10448^2 + 109146^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12022009979 and 12022010006.

It is not an unprimeable number, because it can be changed into a prime (12022010023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420336 + ... + 448024.

It is an arithmetic number, because the mean of its divisors is an integer number (557358165).

Almost surely, 212022010020 is an apocalyptic number.

12022010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022010020 is an abundant number, since it is smaller than the sum of its proper divisors (14731181900).

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

12022010020 is a wasteful number, since it uses less digits than its factorization.

12022010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28992 (or 28990 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12022010020 its reverse (2001022021), we get a palindrome (14023032041).

The spelling of 12022010020 in words is "twelve billion, twenty-two million, ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1277 2554 5108 6385 12770 21709 25540 27689 43418 55378 86836 108545 110756 138445 217090 276890 434180 470713 553780 941426 1882852 2353565 4707130 9414260 35358853 70717706 141435412 176794265 353588530 601100501 707177060 1202201002 2404402004 3005502505 6011005010 12022010020