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22012130111300 = 22527571308317863
BaseRepresentation
bin1010000000101000110010…
…01100100010111101000100
32212221100011012020212010022
411000110121030202331010
510341121320302030200
6114452122153314312
74431216050536640
oct500243114427504
985840135225108
1022012130111300
117017323657a9a
122576121a05998
13c38972936c54
1456156db17c20
152828bcc35885
hex140519322f44

22012130111300 has 144 divisors (see below), whose sum is σ = 54706487227392. Its totient is φ = 7530933571200.

The previous prime is 22012130111287. The next prime is 22012130111333. The reversal of 22012130111300 is 311103121022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1232266169 + ... + 1232284031.

Almost surely, 222012130111300 is an apocalyptic number.

22012130111300 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 22012130111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27353243613696).

22012130111300 is an abundant number, since it is smaller than the sum of its proper divisors (32694357116092).

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

22012130111300 is a wasteful number, since it uses less digits than its factorization.

22012130111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21538 (or 21531 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 22012130111300 its reverse (311103121022), we get a palindrome (22323233232322).

The spelling of 22012130111300 in words is "twenty-two trillion, twelve billion, one hundred thirty million, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 571 700 1142 2284 2855 3083 3997 5710 6166 7994 11420 12332 14275 15415 15988 17863 19985 21581 28550 30830 35726 39970 43162 57100 61660 71452 77075 79940 86324 89315 99925 107905 125041 154150 178630 199850 215810 250082 308300 357260 399700 431620 446575 500164 539525 625205 893150 1079050 1250410 1760393 1786300 2158100 2500820 3126025 3520786 6252050 7041572 8801965 10199773 12322751 12504100 17603930 20399546 24645502 35207860 40799092 44009825 49291004 50998865 55071629 61613755 71398411 88019650 101997730 110143258 123227510 142796822 176039300 203995460 220286516 246455020 254994325 275358145 285593644 308068775 356992055 385501403 509988650 550716290 616137550 713984110 771002806 1019977300 1101432580 1232275100 1376790725 1427968220 1542005612 1784960275 1927507015 2753581450 3569920550 3855014030 5507162900 7139841100 7710028060 9637535075 19275070150 31445900159 38550140300 62891800318 125783600636 157229500795 220121301113 314459001590 440242602226 628918003180 786147503975 880485204452 1100606505565 1572295007950 2201213011130 3144590015900 4402426022260 5503032527825 11006065055650 22012130111300