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11144123300 = 2252234845271
BaseRepresentation
bin10100110000011110…
…11101001110100100
31001202122122010020102
422120033131032210
5140310343421200
65041453123232
7543106325252
oct123017351644
931678563212
1011144123300
1147a9626862
1221b0189518
131087a496cb
1477a0a95d2
1545355c6d5
hex2983dd3a4

11144123300 has 36 divisors (see below), whose sum is σ = 25234176576. Its totient is φ = 4263837600.

The previous prime is 11144123269. The next prime is 11144123303. The reversal of 11144123300 is 332144111.

11144123300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (11144123303) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2420336 + ... + 2424935.

Almost surely, 211144123300 is an apocalyptic number.

11144123300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11144123300 is an abundant number, since it is smaller than the sum of its proper divisors (14090053276).

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

11144123300 is a wasteful number, since it uses less digits than its factorization.

11144123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4845308 (or 4845301 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11144123300 its reverse (332144111), we get a palindrome (11476267411).

The spelling of 11144123300 in words is "eleven billion, one hundred forty-four million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 4845271 9690542 19381084 24226355 48452710 96905420 111441233 121131775 222882466 242263550 445764932 484527100 557206165 1114412330 2228824660 2786030825 5572061650 11144123300