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11130244200 = 2332526183469
BaseRepresentation
bin10100101110110101…
…00000110001101000
31001201200111222200200
422113122200301220
5140243320303300
65040235432200
7542550341355
oct122732406150
931650458620
1011130244200
1147a1807229
1221a75b5660
131084bca31a
147782d562c
1545221a200
hex2976a0c68

11130244200 has 72 divisors (see below), whose sum is σ = 37379076150. Its totient is φ = 2968064640.

The previous prime is 11130244163. The next prime is 11130244201. The reversal of 11130244200 is 244203111.

It can be written as a sum of positive squares in 3 ways, for example, as 8802567684 + 2327676516 = 93822^2 + 48246^2 .

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 (18).

It is not an unprimeable number, because it can be changed into a prime (11130244201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3089935 + ... + 3093534.

Almost surely, 211130244200 is an apocalyptic number.

11130244200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11130244200 is an abundant number, since it is smaller than the sum of its proper divisors (26248831950).

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

11130244200 is a wasteful number, since it uses less digits than its factorization.

11130244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6183491 (or 6183479 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11130244200 its reverse (244203111), we get a palindrome (11374447311).

The spelling of 11130244200 in words is "eleven billion, one hundred thirty million, two hundred forty-four 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 6183469 12366938 18550407 24733876 30917345 37100814 49467752 55651221 61834690 74201628 92752035 111302442 123669380 148403256 154586725 185504070 222604884 247338760 278256105 309173450 371008140 445209768 463760175 556512210 618346900 742016280 927520350 1113024420 1236693800 1391280525 1855040700 2226048840 2782561050 3710081400 5565122100 11130244200