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1022201100112 = 24347379599811
BaseRepresentation
bin11101101111111111110…
…11101111011101010000
310121201110221201011110011
432313333323233131100
5113221431440200422
62101332005044304
7133565044663303
oct16677773573520
93551427634404
101022201100112
11364570966015
121461390b6694
137551599b77a
1437690bb4b3a
151b8ca86a077
hexedffeef750

1022201100112 has 80 divisors (see below), whose sum is σ = 1997247168000. Its totient is φ = 506808731520.

The previous prime is 1022201100097. The next prime is 1022201100131. The reversal of 1022201100112 is 2110011022201.

It is a junction number, because it is equal to n+sod(n) for n = 1022201100092 and 1022201100101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1260420187 + ... + 1260420997.

It is an arithmetic number, because the mean of its divisors is an integer number (24965589600).

Almost surely, 21022201100112 is an apocalyptic number.

It is an amenable number.

1022201100112 is a deficient number, since it is larger than the sum of its proper divisors (975046067888).

1022201100112 is a wasteful number, since it uses less digits than its factorization.

1022201100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1022201100112 its reverse (2110011022201), we get a palindrome (3132212122313).

The spelling of 1022201100112 in words is "one trillion, twenty-two billion, two hundred one million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 347 379 599 694 758 811 1198 1388 1516 1622 2396 2776 3032 3244 4792 5552 6064 6488 9584 12976 131513 207853 227021 263026 281417 307369 415706 454042 485789 526052 562834 614738 831412 908084 971578 1052104 1125668 1229476 1662824 1816168 1943156 2104208 2251336 2458952 3325648 3632336 3886312 4502672 4917904 7772624 78776287 106657043 157552574 168568783 184114031 213314086 315105148 337137566 368228062 426628172 630210296 674275132 736456124 853256344 1260420592 1348550264 1472912248 1706512688 2697100528 2945824496 63887568757 127775137514 255550275028 511100550056 1022201100112