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13222301120 = 265722413499
BaseRepresentation
bin11000101000001110…
…00100110111000000
31021010111002111021022
430110013010313000
5204034402113440
610024011445012
7645442463600
oct142407046700
937114074238
1013222301120
11567570a596
122690156768
131329466922
148d60b4c00
15525c13cb5
hex3141c4dc0

13222301120 has 168 divisors, whose sum is σ = 36788598000. Its totient is φ = 4513259520.

The previous prime is 13222301119. The next prime is 13222301171. The reversal of 13222301120 is 2110322231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3777131 + ... + 3780629.

It is an arithmetic number, because the mean of its divisors is an integer number (218979750).

Almost surely, 213222301120 is an apocalyptic number.

13222301120 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 13222301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18394299000).

13222301120 is an abundant number, since it is smaller than the sum of its proper divisors (23566296880).

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

13222301120 is a wasteful number, since it uses less digits than its factorization.

13222301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13222301120 its reverse (2110322231), we get a palindrome (15332623351).

The spelling of 13222301120 in words is "thirteen billion, two hundred twenty-two million, three hundred one thousand, one hundred twenty".