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11002022011000 = 2353431012533277
BaseRepresentation
bin1010000000011001101110…
…0111010010000001111000
31102221210010211102110221201
42200012123213102001320
52420224120113323000
635222131550143544
72213604235041166
oct240063347220170
942853124373851
1011002022011000
113561a2766a789
121298322ab1bb4
1361a642306c77
142a0701d20236
151412c3e6896a
hexa019b9d2078

11002022011000 has 128 divisors (see below), whose sum is σ = 26604282893760. Its totient is φ = 4255903680000.

The previous prime is 11002022010989. The next prime is 11002022011067. The reversal of 11002022011000 is 11022020011.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 3076362 + ... + 5609638.

Almost surely, 211002022011000 is an apocalyptic number.

11002022011000 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 11002022011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13302141446880).

11002022011000 is an abundant number, since it is smaller than the sum of its proper divisors (15602260882760).

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

11002022011000 is a wasteful number, since it uses less digits than its factorization.

11002022011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533442 (or 2533428 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11002022011000 its reverse (11022020011), we get a palindrome (11013044031011).

The spelling of 11002022011000 in words is "eleven trillion, two billion, twenty-two million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 101 125 172 200 202 215 250 344 404 430 500 505 808 860 1000 1010 1075 1720 2020 2150 2525 4040 4300 4343 5050 5375 8600 8686 10100 10750 12625 17372 20200 21500 21715 25250 34744 43000 43430 50500 86860 101000 108575 173720 217150 434300 542875 868600 1085750 2171500 2533277 4343000 5066554 10133108 12666385 20266216 25332770 50665540 63331925 101331080 108930911 126663850 217861822 253327700 255860977 316659625 435723644 506655400 511721954 544654555 633319250 871447288 1023443908 1089309110 1266638500 1279304885 2046887816 2178618220 2533277000 2558609770 2723272775 4357236440 5117219540 5446545550 6396524425 10234439080 10893091100 11002022011 12793048850 13616363875 21786182200 22004044022 25586097700 27232727750 31982622125 44008088044 51172195400 54465455500 55010110055 63965244250 88016176088 108930911000 110020220110 127930488500 220040440220 255860977000 275050550275 440080880440 550101100550 1100202201100 1375252751375 2200404402200 2750505502750 5501011005500 11002022011000