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13101022120 = 2351719283643
BaseRepresentation
bin11000011001110000…
…11011101110101000
31020211000212212202111
430030320123232220
5203312330201440
610004000212104
7642440564524
oct141470335650
936730785674
1013101022120
11561320490a
12265760a034
13130a2b27c4
148c3d44d84
1551a2594ea
hex30ce1bba8

13101022120 has 192 divisors, whose sum is σ = 33389133120. Its totient is φ = 4609087488.

The previous prime is 13101022079. The next prime is 13101022133. The reversal of 13101022120 is 2122010131.

13101022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13101022120.

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 47 ways as a sum of consecutive naturals, for example, 20374519 + ... + 20375161.

It is an arithmetic number, because the mean of its divisors is an integer number (173901735).

Almost surely, 213101022120 is an apocalyptic number.

13101022120 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 13101022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16694566560).

13101022120 is an abundant number, since it is smaller than the sum of its proper divisors (20288111000).

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

13101022120 is a wasteful number, since it uses less digits than its factorization.

13101022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 13101022120 its reverse (2122010131), we get a palindrome (15223032251).

The spelling of 13101022120 in words is "thirteen billion, one hundred one million, twenty-two thousand, one hundred twenty".