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11202012101000 = 235374734048669
BaseRepresentation
bin1010001100000010101111…
…1100111011100110001000
31110122220100111001200111002
42203000223330323212020
52432013210044213000
635454044443554132
72234214205542110
oct243005374734610
943586314050432
1011202012101000
1136298238823a6
12130b03722b948
13633464566526
142aa274982040
151465cb5d18d5
hexa302bf3b988

11202012101000 has 128 divisors (see below), whose sum is σ = 30594772915200. Its totient is φ = 3758972947200.

The previous prime is 11202012100999. The next prime is 11202012101009. The reversal of 11202012101000 is 10121020211.

It is a super-2 number, since 2×112020121010002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11202012101009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16695335 + ... + 17353334.

It is an arithmetic number, because the mean of its divisors is an integer number (239021663400).

Almost surely, 211202012101000 is an apocalyptic number.

11202012101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202012101000 is an abundant number, since it is smaller than the sum of its proper divisors (19392760814200).

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

11202012101000 is a wasteful number, since it uses less digits than its factorization.

11202012101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34048744 (or 34048730 counting only the distinct ones).

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

Adding to 11202012101000 its reverse (10121020211), we get a palindrome (11212133121211).

The spelling of 11202012101000 in words is "eleven trillion, two hundred two billion, twelve million, one hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 47 50 56 70 94 100 125 140 175 188 200 235 250 280 329 350 376 470 500 658 700 875 940 1000 1175 1316 1400 1645 1750 1880 2350 2632 3290 3500 4700 5875 6580 7000 8225 9400 11750 13160 16450 23500 32900 41125 47000 65800 82250 164500 329000 34048669 68097338 136194676 170243345 238340683 272389352 340486690 476681366 680973380 851216725 953362732 1191703415 1361946760 1600287443 1702433450 1906725464 2383406830 3200574886 3404866900 4256083625 4766813660 5958517075 6401149772 6809733800 8001437215 8512167250 9533627320 11202012101 11917034150 12802299544 16002874430 17024334500 22404024202 23834068300 29792585375 32005748860 34048669000 40007186075 44808048404 47668136600 56010060505 59585170750 64011497720 80014372150 89616096808 112020121010 119170341500 160028744300 200035930375 224040242020 238340683000 280050302525 320057488600 400071860750 448080484040 560100605050 800143721500 1120201210100 1400251512625 1600287443000 2240402420200 2800503025250 5601006050500 11202012101000