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11002002001120 = 2551347112540937
BaseRepresentation
bin1010000000011001101001…
…1010111100110011100000
31102221210002102202212120001
42200012122122330303200
52420224100003013440
635222125553225344
72213603603001304
oct240063232746340
942853072685501
1011002002001120
113561a17342a99
121298318262254
1361a63b11c1c0
142a06dd3d1d04
151412c2314b9a
hexa019a6bcce0

11002002001120 has 96 divisors (see below), whose sum is σ = 28587198907008. Its totient is φ = 3975846187008.

The previous prime is 11002002001103. The next prime is 11002002001147. The reversal of 11002002001120 is 2110020020011.

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

It is a junction number, because it is equal to n+sod(n) for n = 11002002001097 and 11002002001106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56172709 + ... + 56368228.

It is an arithmetic number, because the mean of its divisors is an integer number (297783321948).

Almost surely, 211002002001120 is an apocalyptic number.

11002002001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002002001120 is an abundant number, since it is smaller than the sum of its proper divisors (17585196905888).

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

11002002001120 is a wasteful number, since it uses less digits than its factorization.

11002002001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112541012 (or 112541004 counting only the distinct ones).

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

Adding to 11002002001120 its reverse (2110020020011), we get a palindrome (13112022021131).

The spelling of 11002002001120 in words is "eleven trillion, two billion, two million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 47 52 65 80 94 104 130 160 188 208 235 260 376 416 470 520 611 752 940 1040 1222 1504 1880 2080 2444 3055 3760 4888 6110 7520 9776 12220 19552 24440 48880 97760 112540937 225081874 450163748 562704685 900327496 1125409370 1463032181 1800654992 2250818740 2926064362 3601309984 4501637480 5289424039 5852128724 7315160905 9003274960 10578848078 11704257448 14630321810 18006549920 21157696156 23408514896 26447120195 29260643620 42315392312 46817029792 52894240390 58521287240 68762512507 84630784624 105788480780 117042574480 137525025014 169261569248 211576961560 234085148960 275050050028 343812562535 423153923120 550100100056 687625125070 846307846240 1100200200112 1375250250140 2200400400224 2750500500280 5501001000560 11002002001120