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11313132300 = 22385243401
BaseRepresentation
bin10101000100101000…
…01011001100001100
31002012102122200000000
422202110023030030
5141132130213200
65110331404300
7550231016001
oct124224131414
932172580000
1011313132300
114885a71818
1222388b3690
1310b3a72932
147947018a8
154632e4300
hex2a250b30c

11313132300 has 324 divisors, whose sum is σ = 37772670936. Its totient is φ = 2939328000.

The previous prime is 11313132251. The next prime is 11313132329. The reversal of 11313132300 is 323131311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 28212100 + ... + 28212500.

Almost surely, 211313132300 is an apocalyptic number.

11313132300 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 11313132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18886335468).

11313132300 is an abundant number, since it is smaller than the sum of its proper divisors (26459538636).

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

11313132300 is an equidigital number, since it uses as much as digits as its factorization.

11313132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11313132300 its reverse (323131311), we get a palindrome (11636263611).

The spelling of 11313132300 in words is "eleven billion, three hundred thirteen million, one hundred thirty-two thousand, three hundred".