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13500201330 = 232571117114593
BaseRepresentation
bin11001001001010110…
…01011100101110010
31021211212000021200200
430210223023211302
5210122022420310
610111340100030
7655355550360
oct144453134562
937755007620
1013500201330
1157a856a090
122749234616
131371bc7615
14920d74630
155403099c0
hex324acb972

13500201330 has 192 divisors, whose sum is σ = 46336313088. Its totient is φ = 2640199680.

The previous prime is 13500201329. The next prime is 13500201349. The reversal of 13500201330 is 3310200531.

13500201330 is a `hidden beast` number, since 13 + 500 + 20 + 133 + 0 = 666.

13500201330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 60514 + ... + 175106.

It is an arithmetic number, because the mean of its divisors is an integer number (241334964).

Almost surely, 213500201330 is an apocalyptic number.

13500201330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13500201330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23168156544).

13500201330 is an abundant number, since it is smaller than the sum of its proper divisors (32836111758).

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

13500201330 is a wasteful number, since it uses less digits than its factorization.

13500201330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114641 (or 114638 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 13500201330 its reverse (3310200531), we get a palindrome (16810401861).

It can be divided in two parts, 13500201 and 330, that added together give a palindrome (13500531).

The spelling of 13500201330 in words is "thirteen billion, five hundred million, two hundred one thousand, three hundred thirty".