Search a number
-
+
11100202300 = 22521147921067
BaseRepresentation
bin10100101011001111…
…11010010100111100
31001122120222200221201
422111213322110330
5140213122433200
65033243505244
7542034106555
oct122547722474
931576880851
1011100202300
114786858310
122199528224
13107b90c255
1477431532c
1544e783c6a
hex2959fa53c

11100202300 has 72 divisors (see below), whose sum is σ = 26333314560. Its totient is φ = 4027819200.

The previous prime is 11100202273. The next prime is 11100202307. The reversal of 11100202300 is 320200111.

It is a super-2 number, since 2×111002023002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100202307) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 516367 + ... + 537433.

It is an arithmetic number, because the mean of its divisors is an integer number (365740480).

Almost surely, 211100202300 is an apocalyptic number.

11100202300 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 11100202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13166657280).

11100202300 is an abundant number, since it is smaller than the sum of its proper divisors (15233112260).

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

11100202300 is a wasteful number, since it uses less digits than its factorization.

11100202300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21571 (or 21564 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11100202300 its reverse (320200111), we get a palindrome (11420402411).

The spelling of 11100202300 in words is "eleven billion, one hundred million, two hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 479 550 958 1100 1916 2395 4790 5269 9580 10538 11975 21067 21076 23950 26345 42134 47900 52690 84268 105335 105380 131725 210670 231737 263450 421340 463474 526675 526900 926948 1053350 1158685 2106700 2317370 4634740 5793425 10091093 11586850 20182186 23173700 40364372 50455465 100910930 111002023 201821860 222004046 252277325 444008092 504554650 555010115 1009109300 1110020230 2220040460 2775050575 5550101150 11100202300