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2122310453320 = 235294795340847
BaseRepresentation
bin11110111000100011100…
…011111000100001001000
321111220001110112122120201
4132320203203320201020
5234232442434001240
64302550450301544
7306221555130001
oct36704343704110
97456043478521
102122310453320
11749080a16762
122a33995878b4
13125196313885
1474a129c61a8
153a315c1bd9a
hex1ee238f8848

2122310453320 has 128 divisors (see below), whose sum is σ = 5050381363200. Its totient is φ = 801350158336.

The previous prime is 2122310453311. The next prime is 2122310453321. The reversal of 2122310453320 is 233540132212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2122310453321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51937137 + ... + 51977983.

It is an arithmetic number, because the mean of its divisors is an integer number (39456104400).

Almost surely, 22122310453320 is an apocalyptic number.

2122310453320 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 2122310453320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525190681600).

2122310453320 is an abundant number, since it is smaller than the sum of its proper divisors (2928070909880).

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

2122310453320 is a wasteful number, since it uses less digits than its factorization.

2122310453320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41887 (or 41883 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 2122310453320 its reverse (233540132212), we get a palindrome (2355850585532).

The spelling of 2122310453320 in words is "two trillion, one hundred twenty-two billion, three hundred ten million, four hundred fifty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 47 58 94 116 145 188 232 235 290 376 470 580 940 953 1160 1363 1880 1906 2726 3812 4765 5452 6815 7624 9530 10904 13630 19060 27260 27637 38120 40847 44791 54520 55274 81694 89582 110548 138185 163388 179164 204235 221096 223955 276370 326776 358328 408470 447910 552740 816940 895820 1105480 1184563 1298939 1633880 1791640 1919809 2369126 2597878 3839618 4738252 5195756 5922815 6494695 7679236 9476504 9599045 10391512 11845630 12989390 15358472 19198090 23691260 25978780 38396180 38927191 47382520 51957560 55674461 76792360 77854382 111348922 155708764 194635955 222697844 278372305 311417528 389271910 445395688 556744610 778543820 1113489220 1128888539 1557087640 1829577977 2226978440 2257777078 3659155954 4515554156 5644442695 7318311908 9031108312 9147889885 11288885390 14636623816 18295779770 22577770780 36591559540 45155541560 53057761333 73183119080 106115522666 212231045332 265288806665 424462090664 530577613330 1061155226660 2122310453320