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13312111120 = 24571117235527
BaseRepresentation
bin11000110010111011…
…01011001000010000
31021100202002022102121
430121131223020100
5204230400023440
610040540424024
7650613035410
oct143135531020
937322068377
1013312111120
115711381130
1226b6248014
131341c50239
14903db2640
1552da5434a
hex31976b210

13312111120 has 320 divisors, whose sum is σ = 42641842176. Its totient is φ = 3734691840.

The previous prime is 13312111081. The next prime is 13312111157. The reversal of 13312111120 is 2111121331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13312111094 and 13312111103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2405797 + ... + 2411323.

Almost surely, 213312111120 is an apocalyptic number.

13312111120 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 13312111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21320921088).

13312111120 is an abundant number, since it is smaller than the sum of its proper divisors (29329731056).

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

13312111120 is a wasteful number, since it uses less digits than its factorization.

13312111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5598 (or 5592 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13312111120 its reverse (2111121331), we get a palindrome (15423232451).

It can be divided in two parts, 1331211 and 1120, that added together give a palindrome (1332331).

The spelling of 13312111120 in words is "thirteen billion, three hundred twelve million, one hundred eleven thousand, one hundred twenty".