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21300131232 = 253217109167239
BaseRepresentation
bin10011110101100101…
…100011010110100000
32000222102221210000100
4103311211203112200
5322110313144412
613441331422400
71352560061652
oct236545432640
960872853010
1021300131232
119040406946
124165454a00
132015b5a563
141060c3c6d2
15849e84edc
hex4f59635a0

21300131232 has 288 divisors, whose sum is σ = 65383718400. Its totient is φ = 6553903104.

The previous prime is 21300131173. The next prime is 21300131233. The reversal of 21300131232 is 23213100312.

21300131232 is a `hidden beast` number, since 2 + 1 + 300 + 131 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (21300131233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89121769 + ... + 89122007.

It is an arithmetic number, because the mean of its divisors is an integer number (227026800).

Almost surely, 221300131232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21300131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32691859200).

21300131232 is an abundant number, since it is smaller than the sum of its proper divisors (44083587168).

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

21300131232 is a wasteful number, since it uses less digits than its factorization.

21300131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21300131232 its reverse (23213100312), we get a palindrome (44513231544).

The spelling of 21300131232 in words is "twenty-one billion, three hundred million, one hundred thirty-one thousand, two hundred thirty-two".