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22102201011200 = 210528091067203
BaseRepresentation
bin1010000011010000100011…
…10101110000110000000000
32220020221122101112122121212
411001220101311300300000
510344110301424324300
6115001335545305252
74440555100545512
oct501502165606000
986227571478555
1022102201011200
1170515442a4242
12258b67a495228
13c442c835151b
14565a761cdbb2
15284de0419935
hex141a11d70c00

22102201011200 has 132 divisors (see below), whose sum is σ = 54854467024680. Its totient is φ = 8829943971840.

The previous prime is 22102201011173. The next prime is 22102201011251. The reversal of 22102201011200 is 211010220122.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20176799 + ... + 21244001.

Almost surely, 222102201011200 is an apocalyptic number.

22102201011200 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 22102201011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27427233512340).

22102201011200 is an abundant number, since it is smaller than the sum of its proper divisors (32752266013480).

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

22102201011200 is a wasteful number, since it uses less digits than its factorization.

22102201011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068042 (or 1068019 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22102201011200 its reverse (211010220122), we get a palindrome (22313211231322).

The spelling of 22102201011200 in words is "twenty-two trillion, one hundred two billion, two hundred one million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 809 1024 1280 1600 1618 2560 3200 3236 4045 5120 6400 6472 8090 12800 12944 16180 20225 25600 25888 32360 40450 51776 64720 80900 103552 129440 161800 207104 258880 323600 414208 517760 647200 828416 1035520 1067203 1294400 2071040 2134406 2588800 4142080 4268812 5177600 5336015 8537624 10355200 10672030 17075248 20710400 21344060 26680075 34150496 42688120 53360150 68300992 85376240 106720300 136601984 170752480 213440600 273203968 341504960 426881200 546407936 683009920 853762400 863367227 1092815872 1366019840 1707524800 1726734454 2732039680 3415049600 3453468908 4316836135 5464079360 6830099200 6906937816 8633672270 13660198400 13813875632 17267344540 21584180675 27320396800 27627751264 34534689080 43168361350 55255502528 69069378160 86336722700 110511005056 138138756320 172673445400 221022010112 276277512640 345346890800 442044020224 552555025280 690693781600 884088040448 1105110050560 1381387563200 2210220101120 2762775126400 4420440202240 5525550252800 11051100505600 22102201011200