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13020300 = 223252172337
BaseRepresentation
bin110001101010…
…110010001100
3220111111111100
4301222302030
511313122200
61143023100
7215446026
oct61526214
926444440
1013020300
117393387
12443aa90
13290b527
141a2d016
151222d00
hexc6ac8c

13020300 has 216 divisors, whose sum is σ = 46309536. Its totient is φ = 3041280.

The previous prime is 13020251. The next prime is 13020307. The reversal of 13020300 is 302031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (13020307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 351882 + ... + 351918.

It is an arithmetic number, because the mean of its divisors is an integer number (214396).

Almost surely, 213020300 is an apocalyptic number.

13020300 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 13020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23154768).

13020300 is an abundant number, since it is smaller than the sum of its proper divisors (33289236).

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

13020300 is a wasteful number, since it uses less digits than its factorization.

13020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 13020300 is about 3608.3652808439. The cubic root of 13020300 is about 235.2557951068.

Adding to 13020300 its reverse (302031), we get a palindrome (13322331).

The spelling of 13020300 in words is "thirteen million, twenty thousand, three hundred".