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13032232000 = 26531011272
BaseRepresentation
bin11000010001100100…
…00001010001000000
31020122020102222110021
430020302001101000
5203142222411000
65553101543224
7640644100324
oct141062012100
936566388407
1013032232000
11558839a877
122638574b14
1312c8c788a8
148b8b59984
155141bc11a
hex308c81440

13032232000 has 168 divisors, whose sum is σ = 32852535768. Its totient is φ = 5120640000.

The previous prime is 13032231991. The next prime is 13032232021. The reversal of 13032232000 is 23223031.

It can be written as a sum of positive squares in 4 ways, for example, as 83612736 + 12948619264 = 9144^2 + 113792^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102615937 + ... + 102616063.

Almost surely, 213032232000 is an apocalyptic number.

13032232000 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 13032232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16426267884).

13032232000 is an abundant number, since it is smaller than the sum of its proper divisors (19820303768).

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

13032232000 is an equidigital number, since it uses as much as digits as its factorization.

13032232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 13032232000 its reverse (23223031), we get a palindrome (13055455031).

The spelling of 13032232000 in words is "thirteen billion, thirty-two million, two hundred thirty-two thousand".