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2113201320 = 2335179971039
BaseRepresentation
bin111110111110100…
…1110010010101000
312110021100202020120
41331331032102220
513311434420240
6545405123240
7103236625536
oct17575162250
95407322216
102113201320
1199493547a
124ab859520
13278a608a9
14160925156
15c57c3ad0
hex7df4e4a8

2113201320 has 128 divisors (see below), whose sum is σ = 6725721600. Its totient is φ = 529330176.

The previous prime is 2113201283. The next prime is 2113201327. The reversal of 2113201320 is 231023112.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2113201320.

It is not an unprimeable number, because it can be changed into a prime (2113201327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2033361 + ... + 2034399.

It is an arithmetic number, because the mean of its divisors is an integer number (52544700).

Almost surely, 22113201320 is an apocalyptic number.

2113201320 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 2113201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362860800).

2113201320 is an abundant number, since it is smaller than the sum of its proper divisors (4612520280).

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

2113201320 is a wasteful number, since it uses less digits than its factorization.

2113201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2113201320 is about 45969.5694998333. The cubic root of 2113201320 is about 1283.2569482093.

Adding to 2113201320 its reverse (231023112), we get a palindrome (2344224432).

The spelling of 2113201320 in words is "two billion, one hundred thirteen million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 997 1020 1039 1994 2040 2078 2991 3117 3988 4156 4985 5195 5982 6234 7976 8312 9970 10390 11964 12468 14955 15585 16949 17663 19940 20780 23928 24936 29910 31170 33898 35326 39880 41560 50847 52989 59820 62340 67796 70652 84745 88315 101694 105978 119640 124680 135592 141304 169490 176630 203388 211956 254235 264945 338980 353260 406776 423912 508470 529890 677960 706520 1016940 1035883 1059780 2033880 2071766 2119560 3107649 4143532 5179415 6215298 8287064 10358830 12430596 15538245 17610011 20717660 24861192 31076490 35220022 41435320 52830033 62152980 70440044 88050055 105660066 124305960 140880088 176100110 211320132 264150165 352200220 422640264 528300330 704400440 1056600660 2113201320