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11412303300 = 22335223296337
BaseRepresentation
bin10101010000011100…
…11110110111000100
31002110100021002001000
422220032132313010
5141333022201200
65124233133300
7552543656166
oct125016366704
932410232030
1011412303300
114926a47422
122265b5a230
1310cb485cb8
147a3958936
1546bd83300
hex2a839edc4

11412303300 has 288 divisors, whose sum is σ = 39609964800. Its totient is φ = 2810142720.

The previous prime is 11412303257. The next prime is 11412303307. The reversal of 11412303300 is 330321411.

11412303300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114123033002 (a number of 21 digits) contains 22 as substring.

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 (11412303307) 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 95 ways as a sum of consecutive naturals, for example, 1797732 + ... + 1804068.

It is an arithmetic number, because the mean of its divisors is an integer number (137534600).

Almost surely, 211412303300 is an apocalyptic number.

11412303300 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 11412303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19804982400).

11412303300 is an abundant number, since it is smaller than the sum of its proper divisors (28197661500).

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

11412303300 is a wasteful number, since it uses less digits than its factorization.

11412303300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6412 (or 6399 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11412303300 its reverse (330321411), we get a palindrome (11742624711).

The spelling of 11412303300 in words is "eleven billion, four hundred twelve million, three hundred three thousand, three hundred".