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13210232112 = 2433711279457
BaseRepresentation
bin11000100110110010…
…00010010100110000
31021002122101022201000
430103121002110300
5204023304411422
610022501042000
7645235056150
oct142331022460
937078338630
1013210232112
115669916a00
1226880b6300
131326acc3bc
148d4652760
15524b2ccac
hex313642530

13210232112 has 480 divisors, whose sum is σ = 48341350400. Its totient is φ = 3380382720.

The previous prime is 13210232093. The next prime is 13210232159. The reversal of 13210232112 is 21123201231.

13210232112 is a `hidden beast` number, since 1 + 321 + 0 + 232 + 112 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 28906188 + ... + 28906644.

Almost surely, 213210232112 is an apocalyptic number.

13210232112 is a gapful number since it is divisible by the number (12) 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 13210232112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24170675200).

13210232112 is an abundant number, since it is smaller than the sum of its proper divisors (35131118288).

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

13210232112 is a wasteful number, since it uses less digits than its factorization.

13210232112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13210232112 its reverse (21123201231), we get a palindrome (34333433343).

The spelling of 13210232112 in words is "thirteen billion, two hundred ten million, two hundred thirty-two thousand, one hundred twelve".