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1022201111000 = 23536719976667
BaseRepresentation
bin11101101111111111110…
…11110010000111011000
310121201110221201201101102
432313333323302013120
5113221431441023000
62101332005210532
7133565045040116
oct16677773620730
93551427651342
101022201111000
11364570973213
12146139100a48
13755159a3704
1437690bb8ab6
151b8ca86d3d5
hexedffef21d8

1022201111000 has 128 divisors (see below), whose sum is σ = 2439882432000. Its totient is φ = 400748515200.

The previous prime is 1022201110969. The next prime is 1022201111039. The reversal of 1022201111000 is 1111022201.

It is a super-2 number, since 2×10222011110002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13294667 + ... + 13371333.

It is an arithmetic number, because the mean of its divisors is an integer number (19061581500).

Almost surely, 21022201111000 is an apocalyptic number.

1022201111000 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 1022201111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219941216000).

1022201111000 is an abundant number, since it is smaller than the sum of its proper divisors (1417681321000).

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

1022201111000 is a wasteful number, since it uses less digits than its factorization.

1022201111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76954 (or 76940 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1022201111000 its reverse (1111022201), we get a palindrome (1023312133201).

The spelling of 1022201111000 in words is "one trillion, twenty-two billion, two hundred one million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 199 200 250 268 335 398 500 536 670 796 995 1000 1340 1592 1675 1990 2680 3350 3980 4975 6700 7960 8375 9950 13333 13400 16750 19900 24875 26666 33500 39800 49750 53332 66665 67000 76667 99500 106664 133330 153334 199000 266660 306668 333325 383335 533320 613336 666650 766670 1333300 1533340 1666625 1916675 2666600 3066680 3333250 3833350 5136689 6666500 7666700 9583375 10273378 13333000 15256733 15333400 19166750 20546756 25683445 30513466 38333500 41093512 51366890 61026932 76283665 76667000 102733780 122053864 128417225 152567330 205467560 256834450 305134660 381418325 513668900 610269320 642086125 762836650 1022201111 1027337800 1284172250 1525673300 1907091625 2044402222 2568344500 3051346600 3814183250 4088804444 5111005555 5136689000 7628366500 8177608888 10222011110 15256733000 20444022220 25555027775 40888044440 51110055550 102220111100 127775138875 204440222200 255550277750 511100555500 1022201111000