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11101000200 = 23352157111777
BaseRepresentation
bin10100101011010101…
…11101001000001000
31001122122111020110120
422111222331020020
5140213324001300
65033312543240
7542043642033
oct122552751010
931578436416
1011101000200
114787252834
122199851b20
13107bb2b494
1477448201a
1544e8903a0
hex295abd208

11101000200 has 96 divisors (see below), whose sum is σ = 34437929760. Its totient is φ = 2958131200.

The previous prime is 11101000199. The next prime is 11101000213. The reversal of 11101000200 is 200010111.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 936712 + ... + 948488.

It is an arithmetic number, because the mean of its divisors is an integer number (358728435).

Almost surely, 211101000200 is an apocalyptic number.

11101000200 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 11101000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17218964880).

11101000200 is an abundant number, since it is smaller than the sum of its proper divisors (23336929560).

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

11101000200 is a wasteful number, since it uses less digits than its factorization.

11101000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13367 (or 13358 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11101000200 its reverse (200010111), we get a palindrome (11301010311).

The spelling of 11101000200 in words is "eleven billion, one hundred one million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1571 3142 4713 6284 7855 9426 11777 12568 15710 18852 23554 23565 31420 35331 37704 39275 47108 47130 58885 62840 70662 78550 94216 94260 117770 117825 141324 157100 176655 188520 235540 235650 282648 294425 314200 353310 471080 471300 588850 706620 883275 942600 1177700 1413240 1766550 2355400 3533100 7066200 18501667 37003334 55505001 74006668 92508335 111010002 148013336 185016670 222020004 277525005 370033340 444040008 462541675 555050010 740066680 925083350 1110100020 1387625025 1850166700 2220200040 2775250050 3700333400 5550500100 11101000200