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22102300011320 = 23531283115154721
BaseRepresentation
bin1010000011010000101111…
…01111011010101100111000
32220020221220021211101020222
411001220113233122230320
510344111002300330240
6115001353443235212
74440560412204554
oct501502757325470
986227807741228
1022102300011320
117051595172521
12258b6a7678b08
13c44312a04b89
14565a85400864
15284de8e72eb5
hex141a17bdab38

22102300011320 has 128 divisors (see below), whose sum is σ = 51561467412480. Its totient is φ = 8517934080000.

The previous prime is 22102300011317. The next prime is 22102300011347. The reversal of 22102300011320 is 2311000320122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403881560 + ... + 403936280.

It is an arithmetic number, because the mean of its divisors is an integer number (402823964160).

Almost surely, 222102300011320 is an apocalyptic number.

22102300011320 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 22102300011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25780733706240).

22102300011320 is an abundant number, since it is smaller than the sum of its proper divisors (29459167401160).

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

22102300011320 is a wasteful number, since it uses less digits than its factorization.

22102300011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56197 (or 56193 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 22102300011320 its reverse (2311000320122), we get a palindrome (24413300331442).

The spelling of 22102300011320 in words is "twenty-two trillion, one hundred two billion, three hundred million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 283 310 566 620 1132 1151 1240 1415 2264 2302 2830 4604 5660 5755 8773 9208 11320 11510 17546 23020 35092 35681 43865 46040 54721 70184 71362 87730 109442 142724 175460 178405 218884 273605 285448 325733 350920 356810 437768 547210 651466 713620 1094420 1302932 1427240 1628665 1696351 2188840 2605864 3257330 3392702 6514660 6785404 8481755 10097723 13029320 13570808 15486043 16963510 20195446 30972086 33927020 40390892 50488615 61944172 62983871 67854040 77430215 80781784 100977230 123888344 125967742 154860430 201954460 251935484 309720860 314919355 403908920 480067333 503870968 619441720 629838710 960134666 1259677420 1920269332 1952500001 2400336665 2519354840 3840538664 3905000002 4800673330 7810000004 9601346660 9762500005 15620000008 17824435493 19202693320 19525000010 35648870986 39050000020 71297741972 78100000040 89122177465 142595483944 178244354930 356488709860 552557500283 712977419720 1105115000566 2210230001132 2762787501415 4420460002264 5525575002830 11051150005660 22102300011320