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13212311000 = 235372475737
BaseRepresentation
bin11000100111000001…
…11101110111011000
31021002210021221101212
430103200331313120
5204024322423000
610023013402252
7645261535100
oct142340756730
937083257355
1013212311000
115670006899
122688939388
131327379705
148d4a34200
15524dddc35
hex31383ddd8

13212311000 has 192 divisors, whose sum is σ = 36736053120. Its totient is φ = 4432780800.

The previous prime is 13212310987. The next prime is 13212311003. The reversal of 13212311000 is 11321231.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212311003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2300132 + ... + 2305868.

It is an arithmetic number, because the mean of its divisors is an integer number (191333610).

Almost surely, 213212311000 is an apocalyptic number.

13212311000 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 13212311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18368026560).

13212311000 is an abundant number, since it is smaller than the sum of its proper divisors (23523742120).

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

13212311000 is a wasteful number, since it uses less digits than its factorization.

13212311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5819 (or 5798 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13212311000 its reverse (11321231), we get a palindrome (13223632231).

It can be divided in two parts, 1321231 and 1000, that added together give a palindrome (1322231).

The spelling of 13212311000 in words is "thirteen billion, two hundred twelve million, three hundred eleven thousand".