Search a number
-
+
13022111304200 = 23521632503159589
BaseRepresentation
bin1011110101111111001001…
…0100011000101000001000
31201002220100022211011102002
42331133302110120220020
53201323240443213300
643410135250330132
72512550025523205
oct275376224305010
951086308734362
1013022111304200
114170712388919
121563932889948
13735c978ab27b
143303b889acac
15178b0594e5d5
hexbd7f2518a08

13022111304200 has 96 divisors (see below), whose sum is σ = 30474514833600. Its totient is φ = 5174787720960.

The previous prime is 13022111304127. The next prime is 13022111304229. The reversal of 13022111304200 is 240311122031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81518006 + ... + 81677594.

It is an arithmetic number, because the mean of its divisors is an integer number (317442862850).

Almost surely, 213022111304200 is an apocalyptic number.

13022111304200 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 13022111304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15237257416800).

13022111304200 is an abundant number, since it is smaller than the sum of its proper divisors (17452403529400).

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

13022111304200 is a wasteful number, since it uses less digits than its factorization.

13022111304200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162271 (or 162262 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13022111304200 its reverse (240311122031), we get a palindrome (13262422426231).

The spelling of 13022111304200 in words is "thirteen trillion, twenty-two billion, one hundred eleven million, three hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 163 200 326 652 815 1304 1630 2503 3260 4075 5006 6520 8150 10012 12515 16300 20024 25030 32600 50060 62575 100120 125150 159589 250300 319178 407989 500600 638356 797945 815978 1276712 1595890 1631956 2039945 3191780 3263912 3989725 4079890 6383560 7979450 8159780 10199725 15958900 16319560 20399450 26013007 31917800 40798900 52026014 81597800 104052028 130065035 208104056 260130070 399451267 520260140 650325175 798902534 1040520280 1300650350 1597805068 1997256335 2601300700 3195610136 3994512670 5202601400 7989025340 9986281675 15978050680 19972563350 39945126700 65110556521 79890253400 130221113042 260442226084 325552782605 520884452168 651105565210 1302211130420 1627763913025 2604422260840 3255527826050 6511055652100 13022111304200