Search a number
-
+
13317022080 = 27365172373
BaseRepresentation
bin11000110011100000…
…11010000110000000
31021101002022211000000
430121300122012000
5204233124201310
610041234000000
7651002551155
oct143160320600
937332284000
1013317022080
11571412587a
1226b7a16000
131342c7c62b
149048d022c
1552e1c44c0
hex319c1a180

13317022080 has 896 divisors, whose sum is σ = 53459766720. Its totient is φ = 3153199104.

The previous prime is 13317022031. The next prime is 13317022087. The reversal of 13317022080 is 8022071331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13317022087) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 182424924 + ... + 182424996.

Almost surely, 213317022080 is an apocalyptic number.

13317022080 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 13317022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26729883360).

13317022080 is an abundant number, since it is smaller than the sum of its proper divisors (40142744640).

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

13317022080 is an equidigital number, since it uses as much as digits as its factorization.

13317022080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 13317022080 in words is "thirteen billion, three hundred seventeen million, twenty-two thousand, eighty".