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13173101280 = 253451961877
BaseRepresentation
bin11000100010010110…
…11001001011100000
31021000001111212210000
430101023121023200
5203434303220110
610015053140000
7644304341043
oct142113311340
937001455700
1013173101280
11564a965a69
12267778a600
13131c1cb7b1
148cd748c5a
155217461c0
hex3112d92e0

13173101280 has 480 divisors, whose sum is σ = 49795875360. Its totient is φ = 3269652480.

The previous prime is 13173101267. The next prime is 13173101309. The reversal of 13173101280 is 8210137131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15020202 + ... + 15021078.

It is an arithmetic number, because the mean of its divisors is an integer number (103741407).

Almost surely, 213173101280 is an apocalyptic number.

13173101280 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 13173101280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24897937680).

13173101280 is an abundant number, since it is smaller than the sum of its proper divisors (36622774080).

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

13173101280 is a wasteful number, since it uses less digits than its factorization.

13173101280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 13173101280 in words is "thirteen billion, one hundred seventy-three million, one hundred one thousand, two hundred eighty".