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11101012100200 = 23521119126418401
BaseRepresentation
bin1010000110001010011111…
…1000100000010001101000
31110022020122121202001000201
42201202213320200101220
52423334333044201300
635335422355241544
72224010266650301
oct241424770402150
943266577661021
1011101012100200
11359aa04a22960
1212b354a5a92b4
13626a89819449
142a5412bb37a8
15143b696b566a
hexa18a7e20468

11101012100200 has 96 divisors (see below), whose sum is σ = 28303619166720. Its totient is φ = 4015596800000.

The previous prime is 11101012100131. The next prime is 11101012100203. The reversal of 11101012100200 is 200121010111.

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

It is not an unprimeable number, because it can be changed into a prime (11101012100203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12789001 + ... + 13629400.

It is an arithmetic number, because the mean of its divisors is an integer number (294829366320).

Almost surely, 211101012100200 is an apocalyptic number.

11101012100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101012100200 is an abundant number, since it is smaller than the sum of its proper divisors (17202607066520).

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

11101012100200 is a wasteful number, since it uses less digits than its factorization.

11101012100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26418619 (or 26418610 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11101012100200 its reverse (200121010111), we get a palindrome (11301133110311).

The spelling of 11101012100200 in words is "eleven trillion, one hundred one billion, twelve million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 191 200 220 275 382 440 550 764 955 1100 1528 1910 2101 2200 3820 4202 4775 7640 8404 9550 10505 16808 19100 21010 38200 42020 52525 84040 105050 210100 420200 26418401 52836802 105673604 132092005 211347208 264184010 290602411 528368020 581204822 660460025 1056736040 1162409644 1320920050 1453012055 2324819288 2641840100 2906024110 5045914591 5283680200 5812048220 7265060275 10091829182 11624096440 14530120550 20183658364 25229572955 29060241100 40367316728 50459145910 55505060501 58120482200 100918291820 111010121002 126147864775 201836583640 222020242004 252295729550 277525302505 444040484008 504591459100 555050605010 1009182918200 1110101210020 1387626512525 2220202420040 2775253025050 5550506050100 11101012100200