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20132301200 = 24521119281857
BaseRepresentation
bin10010101111111110…
…101000100110010000
31220222001110212101012
4102233332220212100
5312212332114300
613125413030052
71311616510454
oct225776504620
956861425335
1020132301200
1185a1182960
123a9a325328
131b8ac1a97b
14d8dac4664
157cc6a1435
hex4affa8990

20132301200 has 240 divisors, whose sum is σ = 55804731840. Its totient is φ = 6902784000.

The previous prime is 20132301157. The next prime is 20132301223. The reversal of 20132301200 is 210323102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23491172 + ... + 23492028.

It is an arithmetic number, because the mean of its divisors is an integer number (232519716).

Almost surely, 220132301200 is an apocalyptic number.

20132301200 is a gapful number since it is divisible by the number (20) 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 20132301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27902365920).

20132301200 is an abundant number, since it is smaller than the sum of its proper divisors (35672430640).

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

20132301200 is a wasteful number, since it uses less digits than its factorization.

20132301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20132301200 its reverse (210323102), we get a palindrome (20342624302).

The spelling of 20132301200 in words is "twenty billion, one hundred thirty-two million, three hundred one thousand, two hundred".