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2221020111200 = 255211257982057
BaseRepresentation
bin100000010100011111000…
…111010110000101100000
321212022211201011211012112
4200110133013112011200
5242342122122024300
64420153401014452
7316314643311062
oct40243707260540
97768751154175
102221020111200
11786a24a50710
122ba547184428
131315976ba267
14796d851b732
153cb91a22e35
hex2051f1d6160

2221020111200 has 144 divisors (see below), whose sum is σ = 5938001912304. Its totient is φ = 804500275200.

The previous prime is 2221020111197. The next prime is 2221020111283. The reversal of 2221020111200 is 21110201222.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1770572 + ... + 2752628.

It is an arithmetic number, because the mean of its divisors is an integer number (41236124391).

Almost surely, 22221020111200 is an apocalyptic number.

2221020111200 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 2221020111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969000956152).

2221020111200 is an abundant number, since it is smaller than the sum of its proper divisors (3716981801104).

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

2221020111200 is a wasteful number, since it uses less digits than its factorization.

2221020111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982345 (or 982332 counting only the distinct ones).

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

Adding to 2221020111200 its reverse (21110201222), we get a palindrome (2242130312422).

The spelling of 2221020111200 in words is "two trillion, two hundred twenty-one billion, twenty million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 257 275 352 400 440 514 550 800 880 1028 1100 1285 1760 2056 2200 2570 2827 4112 4400 5140 5654 6425 8224 8800 10280 11308 12850 14135 20560 22616 25700 28270 41120 45232 51400 56540 70675 90464 102800 113080 141350 205600 226160 282700 452320 565400 982057 1130800 1964114 2261600 3928228 4910285 7856456 9820570 10802627 15712912 19641140 21605254 24551425 31425824 39282280 43210508 49102850 54013135 78564560 86421016 98205700 108026270 157129120 172842032 196411400 216052540 252388649 270065675 345684064 392822800 432105080 504777298 540131350 785645600 864210160 1009554596 1080262700 1261943245 1728420320 2019109192 2160525400 2523886490 2776275139 4038218384 4321050800 5047772980 5552550278 6309716225 8076436768 8642101600 10095545960 11105100556 12619432450 13881375695 20191091920 22210201112 25238864900 27762751390 40382183840 44420402224 50477729800 55525502780 69406878475 88840804448 100955459600 111051005560 138813756950 201910919200 222102011120 277627513900 444204022240 555255027800 1110510055600 2221020111200