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11211100200 = 2332526228389
BaseRepresentation
bin10100111000011101…
…11101000000101000
31001221022122220021100
422130032331000220
5140430020201300
65052244441400
7544551531216
oct123416750050
931838586240
1011211100200
114833412573
12220a6a9260
13109889a201
14784d41cb6
1545938c700
hex29c3bd028

11211100200 has 72 divisors (see below), whose sum is σ = 37650617550. Its totient is φ = 2989626240.

The previous prime is 11211100181. The next prime is 11211100249. The reversal of 11211100200 is 200111211.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 10908131364 + 302968836 = 104442^2 + 17406^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3112395 + ... + 3115994.

Almost surely, 211211100200 is an apocalyptic number.

11211100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211100200 is an abundant number, since it is smaller than the sum of its proper divisors (26439517350).

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

11211100200 is a wasteful number, since it uses less digits than its factorization.

11211100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6228411 (or 6228399 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11211100200 its reverse (200111211), we get a palindrome (11411211411).

The spelling of 11211100200 in words is "eleven billion, two hundred eleven million, one hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 6228389 12456778 18685167 24913556 31141945 37370334 49827112 56055501 62283890 74740668 93425835 112111002 124567780 149481336 155709725 186851670 224222004 249135560 280277505 311419450 373703340 448444008 467129175 560555010 622838900 747406680 934258350 1121110020 1245677800 1401387525 1868516700 2242220040 2802775050 3737033400 5605550100 11211100200