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22133201312100 = 22352175941942773
BaseRepresentation
bin1010000100001010010011…
…00110100001100101100100
32220100220122212002002212110
411002011021212201211210
510400112244013441400
6115023504033321020
74443033235010514
oct502051146414544
986326585062773
1022133201312100
11706370214712a
122595690406170
13c471c8a2a738
14567377423844
15285b06c83e50
hex1421499a1964

22133201312100 has 72 divisors (see below), whose sum is σ = 64075136984320. Its totient is φ = 5898831454080.

The previous prime is 22133201312081. The next prime is 22133201312191. The reversal of 22133201312100 is 121310233122.

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, 20443687 + ... + 21499086.

Almost surely, 222133201312100 is an apocalyptic number.

22133201312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22133201312100 is an abundant number, since it is smaller than the sum of its proper divisors (41941935672220).

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

22133201312100 is a wasteful number, since it uses less digits than its factorization.

22133201312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41944549 (or 41944542 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 22133201312100 its reverse (121310233122), we get a palindrome (22254511545222).

The spelling of 22133201312100 in words is "twenty-two trillion, one hundred thirty-three billion, two hundred one million, three hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1759 3518 5277 7036 8795 10554 17590 21108 26385 35180 43975 52770 87950 105540 131925 175900 263850 527700 41942773 83885546 125828319 167771092 209713865 251656638 419427730 503313276 629141595 838855460 1048569325 1258283190 2097138650 2516566380 3145707975 4194277300 6291415950 12582831900 73777337707 147554675414 221332013121 295109350828 368886688535 442664026242 737773377070 885328052484 1106660065605 1475546754140 1844433442675 2213320131210 3688866885350 4426640262420 5533300328025 7377733770700 11066600656050 22133201312100