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13021144220 = 225717191012851
BaseRepresentation
bin11000010000001111…
…01110010010011100
31020121110120122212202
430020013232102130
5203131403103340
65552024151032
7640450620410
oct141007562234
936543518782
1013021144220
115582107417
122634908478
1312c6895b86
148b74b0d40
1551322bc15
hex3081ee49c

13021144220 has 192 divisors, whose sum is σ = 35187747840. Its totient is φ = 3939840000.

The previous prime is 13021144189. The next prime is 13021144223. The reversal of 13021144220 is 2244112031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13021144192 and 13021144201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13021144223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4565795 + ... + 4568645.

It is an arithmetic number, because the mean of its divisors is an integer number (183269520).

Almost surely, 213021144220 is an apocalyptic number.

13021144220 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 13021144220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17593873920).

13021144220 is an abundant number, since it is smaller than the sum of its proper divisors (22166603620).

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

13021144220 is a wasteful number, since it uses less digits than its factorization.

13021144220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13021144220 its reverse (2244112031), we get a palindrome (15265256251).

The spelling of 13021144220 in words is "thirteen billion, twenty-one million, one hundred forty-four thousand, two hundred twenty".