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22020040042 = 271131390901
BaseRepresentation
bin10100100000011111…
…110010010101101010
32002211121120221020121
4110200133302111222
5330044112240132
614041005513454
71406451152320
oct244037622552
962747527217
1022020040042
11937a814000
12432657288a
1320cc04a6c0
1410cc6b9d10
1588d28b497
hex5207f256a

22020040042 has 64 divisors (see below), whose sum is σ = 44715057408. Its totient is φ = 7919208000.

The previous prime is 22020040033. The next prime is 22020040051. The reversal of 22020040042 is 24004002022.

22020040042 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (22020040033) and next prime (22020040051).

It is a junction number, because it is equal to n+sod(n) for n = 22020039998 and 22020040025.

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 31 ways as a sum of consecutive naturals, for example, 196792 + ... + 287692.

It is an arithmetic number, because the mean of its divisors is an integer number (698672772).

Almost surely, 222020040042 is an apocalyptic number.

22020040042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22020040042 is an abundant number, since it is smaller than the sum of its proper divisors (22695017366).

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

22020040042 is a wasteful number, since it uses less digits than its factorization.

22020040042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90956 (or 90934 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 22020040042 its reverse (24004002022), we get a palindrome (46024042064).

The spelling of 22020040042 in words is "twenty-two billion, twenty million, forty thousand, forty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 847 1001 1331 1573 1694 2002 2662 3146 9317 11011 17303 18634 22022 34606 90901 121121 181802 242242 636307 999911 1181713 1272614 1999822 2363426 6999377 8271991 10999021 12998843 13998754 16543982 21998042 25997686 76993147 90991901 120989231 142987273 153986294 181983802 241978462 285974546 846924617 1000910911 1572860003 1693849234 2001821822 3145720006 11010020021 22020040042