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13321441104 = 2431098572971
BaseRepresentation
bin11000110100000010…
…10000111101010000
31021101101122022202120
430122001100331100
5204240242103404
610041512414240
7651055244466
oct143201207520
937341568676
1013321441104
115716673964
1226b93a7380
131343b68b3a
14905320836
1552e7989d9
hex31a050f50

13321441104 has 80 divisors (see below), whose sum is σ = 34781672640. Its totient is φ = 4393128960.

The previous prime is 13321441079. The next prime is 13321441121. The reversal of 13321441104 is 40114412331.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4482339 + ... + 4485309.

It is an arithmetic number, because the mean of its divisors is an integer number (434770908).

Almost surely, 213321441104 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 13321441104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17390836320).

13321441104 is an abundant number, since it is smaller than the sum of its proper divisors (21460231536).

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

13321441104 is a wasteful number, since it uses less digits than its factorization.

13321441104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3942 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13321441104 its reverse (40114412331), we get a palindrome (53435853435).

The spelling of 13321441104 in words is "thirteen billion, three hundred twenty-one million, four hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 857 872 1308 1714 1744 2571 2616 2971 3428 5142 5232 5942 6856 8913 10284 11884 13712 17826 20568 23768 35652 41136 47536 71304 93413 142608 186826 280239 323839 373652 560478 647678 747304 971517 1120956 1295356 1494608 1943034 2241912 2546147 2590712 3886068 4483824 5092294 5181424 7638441 7772136 10184588 15276882 15544272 20369176 30553764 40738352 61107528 122215056 277530023 555060046 832590069 1110120092 1665180138 2220240184 3330360276 4440480368 6660720552 13321441104