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13010220000 = 2535542677
BaseRepresentation
bin11000001110111100…
…00011001111100000
31020120201000122200000
430013132003033200
5203121104020000
65550554100000
7640256021361
oct140736031740
936521018600
1013010220000
115576a25938
12263111a600
1312c453c73b
148b5c69b68
155122c0000
hex3077833e0

13010220000 has 360 divisors, whose sum is σ = 47962690776. Its totient is φ = 3468096000.

The previous prime is 13010219939. The next prime is 13010220001. The reversal of 13010220000 is 2201031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010220001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4858662 + ... + 4861338.

Almost surely, 213010220000 is an apocalyptic number.

13010220000 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 13010220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23981345388).

13010220000 is an abundant number, since it is smaller than the sum of its proper divisors (34952470776).

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

13010220000 is an frugal number, since it uses more digits than its factorization.

13010220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 13010220000 its reverse (2201031), we get a palindrome (13012421031).

The spelling of 13010220000 in words is "thirteen billion, ten million, two hundred twenty thousand".