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11200300100 = 22521111390107
BaseRepresentation
bin10100110111001011…
…10000010001000100
31001220120100012022122
422123211300101010
5140414234100400
65051221145112
7544360660103
oct123345602104
931816305278
1011200300100
114828306270
122206b5b198
131096588412
1478373003a
15458457685
hex29b970444

11200300100 has 72 divisors (see below), whose sum is σ = 26749100448. Its totient is φ = 4036748800.

The previous prime is 11200300057. The next prime is 11200300117. The reversal of 11200300100 is 100300211.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79247 + ... + 169353.

It is an arithmetic number, because the mean of its divisors is an integer number (371515284).

Almost surely, 211200300100 is an apocalyptic number.

11200300100 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 11200300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13374550224).

11200300100 is an abundant number, since it is smaller than the sum of its proper divisors (15548800348).

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

11200300100 is a wasteful number, since it uses less digits than its factorization.

11200300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90245 (or 90238 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 11200300100 its reverse (100300211), we get a palindrome (11300600311).

The spelling of 11200300100 in words is "eleven billion, two hundred million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 113 220 226 275 452 550 565 1100 1130 1243 2260 2486 2825 4972 5650 6215 11300 12430 24860 31075 62150 90107 124300 180214 360428 450535 901070 991177 1802140 1982354 2252675 3964708 4505350 4955885 9010700 9911770 10182091 19823540 20364182 24779425 40728364 49558850 50910455 99117700 101820910 112003001 203641820 224006002 254552275 448012004 509104550 560015005 1018209100 1120030010 2240060020 2800075025 5600150050 11200300100