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13312212300 = 2234528319801
BaseRepresentation
bin11000110010111100…
…00011110101001100
31021100202021110020000
430121132003311030
5204230411243200
610040542524300
7650613636402
oct143136036514
937322243200
1013312212300
115711440152
1226b6296690
131341c872ca
14903ddb472
1552da74300
hex319783d4c

13312212300 has 180 divisors, whose sum is σ = 43675053576. Its totient is φ = 3506976000.

The previous prime is 13312212283. The next prime is 13312212323. The reversal of 13312212300 is 321221331.

13312212300 is a `hidden beast` number, since 1 + 331 + 22 + 12 + 300 = 666.

13312212300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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 (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 662400 + ... + 682200.

Almost surely, 213312212300 is an apocalyptic number.

13312212300 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 13312212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21837526788).

13312212300 is an abundant number, since it is smaller than the sum of its proper divisors (30362841276).

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

13312212300 is a wasteful number, since it uses less digits than its factorization.

13312212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19910 (or 19894 counting only the distinct ones).

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

Adding to 13312212300 its reverse (321221331), we get a palindrome (13633433631).

The spelling of 13312212300 in words is "thirteen billion, three hundred twelve million, two hundred twelve thousand, three hundred".