Search a number
-
+
13241132016 = 24372231511621
BaseRepresentation
bin11000101010011101…
…11010001111110000
31021011210112012101220
430111032322033300
5204104212211031
610025523225040
7646061523300
oct142516721760
937153465356
1013241132016
115685301512
122696518180
13133032ab78
148d87b7600
155276d3596
hex3153ba3f0

13241132016 has 240 divisors, whose sum is σ = 41821751808. Its totient is φ = 3592512000.

The previous prime is 13241131997. The next prime is 13241132027. The reversal of 13241132016 is 61023114231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8167686 + ... + 8169306.

Almost surely, 213241132016 is an apocalyptic number.

13241132016 is a gapful number since it is divisible by the number (16) 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 13241132016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20910875904).

13241132016 is an abundant number, since it is smaller than the sum of its proper divisors (28580619792).

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

13241132016 is a wasteful number, since it uses less digits than its factorization.

13241132016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13241132016 its reverse (61023114231), we get a palindrome (74264246247).

The spelling of 13241132016 in words is "thirteen billion, two hundred forty-one million, one hundred thirty-two thousand, sixteen".