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13312321110 = 23351123533677
BaseRepresentation
bin11000110010111100…
…11110011001010110
31021100202110222111000
430121132132121112
5204230423233420
610040545124130
7650614601544
oct143136363126
937322428430
1013312321110
115711504980
1226b6329646
131341cc49aa
14904028d94
1552da96690
hex31979e656

13312321110 has 256 divisors, whose sum is σ = 41184184320. Its totient is φ = 3027847680.

The previous prime is 13312321093. The next prime is 13312321123. The reversal of 13312321110 is 1112321331.

13312321110 is a `hidden beast` number, since 1 + 331 + 2 + 321 + 1 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3618592 + ... + 3622268.

It is an arithmetic number, because the mean of its divisors is an integer number (160875720).

Almost surely, 213312321110 is an apocalyptic number.

13312321110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13312321110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20592092160).

13312321110 is an abundant number, since it is smaller than the sum of its proper divisors (27871863210).

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

13312321110 is a wasteful number, since it uses less digits than its factorization.

13312321110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13312321110 its reverse (1112321331), we get a palindrome (14424642441).

The spelling of 13312321110 in words is "thirteen billion, three hundred twelve million, three hundred twenty-one thousand, one hundred ten".