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11330230400 = 275229831471
BaseRepresentation
bin10101000110101010…
…11001100010000000
31002020121211100011222
422203111121202000
5141201014333100
65112142054212
7550526240456
oct124325314200
932217740158
1011330230400
11489468a885
12224257a368
1310b747b258
14796ab29d6
15464a70485
hex2a3559880

11330230400 has 192 divisors, whose sum is σ = 29323123200. Its totient is φ = 4320153600.

The previous prime is 11330230381. The next prime is 11330230409. The reversal of 11330230400 is 403203311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11330230409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7701665 + ... + 7703135.

It is an arithmetic number, because the mean of its divisors is an integer number (152724600).

Almost surely, 211330230400 is an apocalyptic number.

11330230400 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 11330230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14661561600).

11330230400 is an abundant number, since it is smaller than the sum of its proper divisors (17992892800).

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

11330230400 is a wasteful number, since it uses less digits than its factorization.

11330230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 11330230400 its reverse (403203311), we get a palindrome (11733433711).

The spelling of 11330230400 in words is "eleven billion, three hundred thirty million, two hundred thirty thousand, four hundred".