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2220130010020 = 22513233311121629
BaseRepresentation
bin100000010011101010000…
…011111000001110100100
321212020112200021222221011
4200103222003320032210
5242333311240310040
64415525203032004
7316253614500646
oct40235203701644
97766480258834
102220130010020
1178660856a4aa
122ba33906b604
1313148517b380
147965221a896
153cb3d7ee3ea
hex204ea0f83a4

2220130010020 has 96 divisors (see below), whose sum is σ = 5255042929920. Its totient is φ = 781729850880.

The previous prime is 2220130010003. The next prime is 2220130010023. The reversal of 2220130010020 is 200100310222.

It is a super-2 number, since 2×22201300100202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (2220130010023) 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, 1418566 + ... + 2540194.

It is an arithmetic number, because the mean of its divisors is an integer number (54740030520).

Almost surely, 22220130010020 is an apocalyptic number.

2220130010020 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 2220130010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627521464960).

2220130010020 is an abundant number, since it is smaller than the sum of its proper divisors (3034912919900).

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

2220130010020 is a wasteful number, since it uses less digits than its factorization.

2220130010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122005 (or 1122003 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 2220130010020 its reverse (200100310222), we get a palindrome (2420230320242).

The spelling of 2220130010020 in words is "two trillion, two hundred twenty billion, one hundred thirty million, ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 331 460 598 662 1196 1324 1495 1655 2990 3310 4303 5980 6620 7613 8606 15226 17212 21515 30452 38065 43030 76130 86060 98969 152260 197938 395876 494845 989690 1121629 1979380 2243258 4486516 5608145 11216290 14581177 22432580 25797467 29162354 51594934 58324708 72905885 103189868 128987335 145811770 257974670 291623540 335367071 371259199 515949340 670734142 742518398 1341468284 1485036796 1676835355 1856295995 3353670710 3712591990 4826369587 6707341420 7425183980 8538961577 9652739174 17077923154 19305478348 24131847935 34155846308 42694807885 48263695870 85389615770 96527391740 111006500501 170779231540 222013001002 444026002004 555032502505 1110065005010 2220130010020