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11100100000 = 25551110091
BaseRepresentation
bin10100101011001111…
…00001010110100000
31001122120210111121211
422111213201112200
5140213111200000
65033241355504
7542033202403
oct122547412640
931576714554
1011100100000
114786798470
122199498b94
13107b8a4812
147742c9d3a
1544e7637ba
hex2959e15a0

11100100000 has 144 divisors (see below), whose sum is σ = 29801030112. Its totient is φ = 4036000000.

The previous prime is 11100099979. The next prime is 11100100009. The reversal of 11100100000 is 100111.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (11100100009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1094955 + ... + 1105045.

It is an arithmetic number, because the mean of its divisors is an integer number (206951598).

Almost surely, 211100100000 is an apocalyptic number.

11100100000 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 11100100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14900515056).

11100100000 is an abundant number, since it is smaller than the sum of its proper divisors (18700930112).

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

11100100000 is an equidigital number, since it uses as much as digits as its factorization.

11100100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10137 (or 10109 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 11100100000 its reverse (100111), we get a palindrome (11100200111).

The spelling of 11100100000 in words is "eleven billion, one hundred million, one hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 10091 11000 12500 13750 20000 20182 22000 25000 27500 34375 40364 44000 50000 50455 55000 68750 80728 100000 100910 110000 111001 137500 161456 201820 220000 222002 252275 275000 322912 403640 444004 504550 550000 555005 807280 888008 1009100 1100000 1110010 1261375 1614560 1776016 2018200 2220020 2522750 2775025 3552032 4036400 4440040 5045500 5550050 6306875 8072800 8880080 10091000 11100100 12613750 13875125 17760160 20182000 22200200 25227500 27750250 31534375 40364000 44400400 50455000 55500500 63068750 69375625 88800800 100910000 111001000 126137500 138751250 201820000 222002000 252275000 277502500 346878125 444004000 504550000 555005000 693756250 1009100000 1110010000 1387512500 2220020000 2775025000 5550050000 11100100000