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13312320120 = 23325114378179
BaseRepresentation
bin11000110010111100…
…11110001001111000
31021100202110221010100
430121132132021320
5204230423220440
610040545115400
7650614565631
oct143136361170
937322427110
1013312320120
115711504160
1226b6328b60
131341cc43c8
14904028888
1552da96230
hex31979e278

13312320120 has 192 divisors, whose sum is σ = 48296476800. Its totient is φ = 3152136960.

The previous prime is 13312320097. The next prime is 13312320137. The reversal of 13312320120 is 2102321331.

13312320120 is a `hidden beast` number, since 1 + 331 + 2 + 320 + 12 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13312320093 and 13312320102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131191 + ... + 209369.

It is an arithmetic number, because the mean of its divisors is an integer number (251544150).

Almost surely, 213312320120 is an apocalyptic number.

13312320120 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 13312320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24148238400).

13312320120 is an abundant number, since it is smaller than the sum of its proper divisors (34984156680).

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

13312320120 is a wasteful number, since it uses less digits than its factorization.

13312320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78250 (or 78243 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13312320120 its reverse (2102321331), we get a palindrome (15414641451).

The spelling of 13312320120 in words is "thirteen billion, three hundred twelve million, three hundred twenty thousand, one hundred twenty".