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13323120000 = 27354431291
BaseRepresentation
bin11000110100001111…
…01010110110000000
31021101111210121202220
430122013222312000
5204241204320000
610042012411040
7651105436311
oct143207526600
937344717686
1013323120000
115717610283
1226b9a76a80
131344306078
1490563a608
1552e9cb1a0
hex31a1ead80

13323120000 has 320 divisors, whose sum is σ = 45286253760. Its totient is φ = 3467520000.

The previous prime is 13323119981. The next prime is 13323120011. The reversal of 13323120000 is 2132331.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10319355 + ... + 10320645.

It is an arithmetic number, because the mean of its divisors is an integer number (141519543).

Almost surely, 213323120000 is an apocalyptic number.

13323120000 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 13323120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643126880).

13323120000 is an abundant number, since it is smaller than the sum of its proper divisors (31963133760).

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

13323120000 is an equidigital number, since it uses as much as digits as its factorization.

13323120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13323120000 its reverse (2132331), we get a palindrome (13325252331).

The spelling of 13323120000 in words is "thirteen billion, three hundred twenty-three million, one hundred twenty thousand".