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11144232200 = 235255721161
BaseRepresentation
bin10100110000011111…
…10111110100001000
31001202122211122121202
422120033313310020
5140310410412300
65041455323332
7543110260613
oct123017676410
931678748552
1011144232200
1147a96a0662
1221b0220548
131087a8714a
1477a0d717a
1545357ead5
hex2983f7d08

11144232200 has 24 divisors (see below), whose sum is σ = 25910340330. Its totient is φ = 4457692800.

The previous prime is 11144232193. The next prime is 11144232227. The reversal of 11144232200 is 223244111.

11144232200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 10630847236 + 513384964 = 103106^2 + 22658^2 .

It is a super-2 number, since 2×111442322002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27860381 + ... + 27860780.

Almost surely, 211144232200 is an apocalyptic number.

11144232200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11144232200 is an abundant number, since it is smaller than the sum of its proper divisors (14766108130).

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

11144232200 is a wasteful number, since it uses less digits than its factorization.

11144232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55721177 (or 55721168 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11144232200 its reverse (223244111), we get a palindrome (11367476311).

The spelling of 11144232200 in words is "eleven billion, one hundred forty-four million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 55721161 111442322 222884644 278605805 445769288 557211610 1114423220 1393029025 2228846440 2786058050 5572116100 11144232200