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11140200300 = 22352173122273
BaseRepresentation
bin10100110000000000…
…11111011101101100
31001202101020210220010
422120000133131230
5140303342402200
65041233053220
7543031066035
oct123000373554
931671223803
1011140200300
1147a7397409
1221aa9b7210
131086ca4bc8
14779767a8c
15453035150
hex29801f76c

11140200300 has 216 divisors, whose sum is σ = 35280273168. Its totient is φ = 2704588800.

The previous prime is 11140200287. The next prime is 11140200319. The reversal of 11140200300 is 300204111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4899964 + ... + 4902236.

It is an arithmetic number, because the mean of its divisors is an integer number (163334598).

Almost surely, 211140200300 is an apocalyptic number.

11140200300 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 11140200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17640136584).

11140200300 is an abundant number, since it is smaller than the sum of its proper divisors (24140072868).

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

11140200300 is a wasteful number, since it uses less digits than its factorization.

11140200300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11140200300 its reverse (300204111), we get a palindrome (11440404411).

The spelling of 11140200300 in words is "eleven billion, one hundred forty million, two hundred thousand, three hundred".