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13321113300 = 223252111779151
BaseRepresentation
bin11000110100000000…
…00000111011010100
31021101101000200002200
430122000000323110
5204240201111200
610041501404500
7651052411005
oct143200007324
937341020080
1013321113300
11571646a650
1226b9269730
131343a82881
149052771ac
1552e731800
hex31a000ed4

13321113300 has 216 divisors, whose sum is σ = 48230163072. Its totient is φ = 3039360000.

The previous prime is 13321113287. The next prime is 13321113301. The reversal of 13321113300 is 331112331.

It is a happy number.

13321113300 is a `hidden beast` number, since 1 + 3 + 321 + 11 + 330 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321113301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128725 + ... + 207875.

It is an arithmetic number, because the mean of its divisors is an integer number (223287792).

Almost surely, 213321113300 is an apocalyptic number.

13321113300 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 13321113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24115081536).

13321113300 is an abundant number, since it is smaller than the sum of its proper divisors (34909049772).

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

13321113300 is a wasteful number, since it uses less digits than its factorization.

13321113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79199 (or 79189 counting only the distinct ones).

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

Adding to 13321113300 its reverse (331112331), we get a palindrome (13652225631).

It can be divided in two parts, 13321 and 113300, that added together give a palindrome (126621).

The spelling of 13321113300 in words is "thirteen billion, three hundred twenty-one million, one hundred thirteen thousand, three hundred".