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13110220320 = 2535233117223
BaseRepresentation
bin11000011010110111…
…00001011000100000
31020211200012012022120
430031123201120200
5203322204022240
610004525304240
7642612014451
oct141533413040
936750165276
1013110220320
11561841762a
12265a705080
13130c183422
148c525b128
1551ae74ad0
hex30d6e1620

13110220320 has 96 divisors (see below), whose sum is σ = 41474788992. Its totient is φ = 3481024512.

The previous prime is 13110220313. The next prime is 13110220349. The reversal of 13110220320 is 2302201131.

It is a tau number, because it is divible by the number of its divisors (96).

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 13110220320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53229 + ... + 170451.

It is an arithmetic number, because the mean of its divisors is an integer number (432029052).

Almost surely, 213110220320 is an apocalyptic number.

13110220320 is a gapful number since it is divisible by the number (10) 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 13110220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20737394496).

13110220320 is an abundant number, since it is smaller than the sum of its proper divisors (28364568672).

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

13110220320 is a wasteful number, since it uses less digits than its factorization.

13110220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117474 (or 117466 counting only the distinct ones).

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

Adding to 13110220320 its reverse (2302201131), we get a palindrome (15412421451).

The spelling of 13110220320 in words is "thirteen billion, one hundred ten million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 233 240 466 480 699 932 1165 1398 1864 2330 2796 3495 3728 4660 5592 6990 7456 9320 11184 13980 18640 22368 27960 37280 55920 111840 117223 234446 351669 468892 586115 703338 937784 1172230 1406676 1758345 1875568 2344460 2813352 3516690 3751136 4688920 5626704 7033380 9377840 11253408 14066760 18755680 27312959 28133520 54625918 56267040 81938877 109251836 136564795 163877754 218503672 273129590 327755508 409694385 437007344 546259180 655511016 819388770 874014688 1092518360 1311022032 1638777540 2185036720 2622044064 3277555080 4370073440 6555110160 13110220320