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1022201220200 = 235243300139607
BaseRepresentation
bin11101101111111111111…
…00001100110001101000
310121201110221221021011212
432313333330030301220
5113221432003021300
62101332011412252
7133565046003356
oct16677774146150
93551427837155
101022201220200
11364570a38266
12146139154088
1375515a11324
1437690c067d6
151b8ca890935
hexedfff0cc68

1022201220200 has 96 divisors (see below), whose sum is σ = 2432759799360. Its totient is φ = 399228480000.

The previous prime is 1022201220191. The next prime is 1022201220203. The reversal of 1022201220200 is 20221022201.

It is not an unprimeable number, because it can be changed into a prime (1022201220203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25788797 + ... + 25828403.

It is an arithmetic number, because the mean of its divisors is an integer number (25341247910).

Almost surely, 21022201220200 is an apocalyptic number.

1022201220200 is a gapful number since it is divisible by the number (10) 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 1022201220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216379899680).

1022201220200 is an abundant number, since it is smaller than the sum of its proper divisors (1410558579160).

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

1022201220200 is a wasteful number, since it uses less digits than its factorization.

1022201220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42667 (or 42658 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1022201220200 its reverse (20221022201), we get a palindrome (1042422242401).

The spelling of 1022201220200 in words is "one trillion, twenty-two billion, two hundred one million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 3001 4300 6002 8600 12004 15005 24008 30010 39607 60020 75025 79214 120040 129043 150050 158428 198035 258086 300100 316856 396070 516172 600200 645215 792140 990175 1032344 1290430 1584280 1703101 1980350 2580860 3226075 3406202 3960700 5161720 6452150 6812404 7921400 8515505 12904300 13624808 17031010 25808600 34062020 42577525 68124040 85155050 118860607 170310100 237721214 340620200 475442428 594303035 950884856 1188606070 2377212140 2971515175 4754424280 5111006101 5943030350 10222012202 11886060700 20444024404 23772121400 25555030505 40888048808 51110061010 102220122020 127775152525 204440244040 255550305050 511100610100 1022201220200