Search a number
-
+
13222541332104 = 2331389221125357
BaseRepresentation
bin1100000001101001110011…
…1000010000111010001000
31201211001200122021112021220
43000122130320100322020
53213114231040111404
644042203541402040
72533203620614656
oct300323470207210
951731618245256
1013222541332104
114238714964385
12159674a409320
1374bb5a023610
14339d8db1bdd6
1517de36a194d9
hexc069ce10e88

13222541332104 has 192 divisors, whose sum is σ = 36175694399040. Its totient is φ = 4003537950720.

The previous prime is 13222541332097. The next prime is 13222541332109. The reversal of 13222541332104 is 40123314522231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13222541332109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 521442594 + ... + 521467950.

It is an arithmetic number, because the mean of its divisors is an integer number (188415074995).

Almost surely, 213222541332104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13222541332104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18087847199520).

13222541332104 is an abundant number, since it is smaller than the sum of its proper divisors (22953153066936).

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

13222541332104 is a wasteful number, since it uses less digits than its factorization.

13222541332104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25768 (or 25675 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 13222541332104 its reverse (40123314522231), we get a palindrome (53345855854335).

The spelling of 13222541332104 in words is "thirteen trillion, two hundred twenty-two billion, five hundred forty-one million, three hundred thirty-two thousand, one hundred four".