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22201012021000 = 235340361550061
BaseRepresentation
bin1010000110001000100110…
…11011110110011100001000
32220121101200200220000221111
411003010103123312130020
510402220133034133000
6115115000520220104
74450653526352341
oct503042333663410
986541620800844
1022201012021000
11708a43a56340a
1225a685600a634
13c50714722b67
1456a76b3890c8
15287775090cba
hex1431136f6708

22201012021000 has 64 divisors (see below), whose sum is σ = 51951749718960. Its totient is φ = 8880168640000.

The previous prime is 22201012020989. The next prime is 22201012021087. The reversal of 22201012021000 is 12021010222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9060256520676 + 13140755500324 = 3010026^2 + 3625018^2 .

It is a super-3 number, since 3×222010120210003 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40085970 + ... + 40636030.

Almost surely, 222201012021000 is an apocalyptic number.

22201012021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22201012021000 is an abundant number, since it is smaller than the sum of its proper divisors (29750737697960).

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

22201012021000 is a wasteful number, since it uses less digits than its factorization.

22201012021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590443 (or 590429 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22201012021000 its reverse (12021010222), we get a palindrome (22213033031222).

The spelling of 22201012021000 in words is "twenty-two trillion, two hundred one billion, twelve million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 40361 80722 161444 201805 322888 403610 550061 807220 1009025 1100122 1614440 2018050 2200244 2750305 4036100 4400488 5045125 5500610 8072200 10090250 11001220 13751525 20180500 22002440 27503050 40361000 55006100 68757625 110012200 137515250 275030500 550061000 22201012021 44402024042 88804048084 111005060105 177608096168 222010120210 444020240420 555025300525 888040480840 1110050601050 2220101202100 2775126502625 4440202404200 5550253005250 11100506010500 22201012021000