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13203222312 = 23371723292239
BaseRepresentation
bin11000100101111100…
…10010111100101000
31021002011012012001210
430102332102330220
5204020011103222
610022050513120
7645121352340
oct142276227450
937064165053
1013203222312
115665969385
1226858957a0
1313255168a7
148d3749d20
155241e5d0c
hex312f92f28

13203222312 has 384 divisors, whose sum is σ = 43346534400. Its totient is φ = 3265253376.

The previous prime is 13203222271. The next prime is 13203222317. The reversal of 13203222312 is 21322230231.

It is a happy number.

13203222312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13203222317) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 55243489 + ... + 55243727.

It is an arithmetic number, because the mean of its divisors is an integer number (112881600).

Almost surely, 213203222312 is an apocalyptic number.

13203222312 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 13203222312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21673267200).

13203222312 is an abundant number, since it is smaller than the sum of its proper divisors (30143312088).

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

13203222312 is a wasteful number, since it uses less digits than its factorization.

13203222312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13203222312 its reverse (21322230231), we get a palindrome (34525452543).

The spelling of 13203222312 in words is "thirteen billion, two hundred three million, two hundred twenty-two thousand, three hundred twelve".