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11214300000 = 25355291289
BaseRepresentation
bin10100111000110110…
…01010001101100000
31001221112200110120110
422130123022031200
5140431330100000
65052441211320
7544620656121
oct123433121540
931845613513
1011214300000
1148351a8632
12220b790b40
13109944a797
14785536048
154597c0850
hex29c6ca360

11214300000 has 288 divisors, whose sum is σ = 38092874400. Its totient is φ = 2885120000.

The previous prime is 11214299989. The next prime is 11214300007. The reversal of 11214300000 is 341211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11214300007) 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, 8699356 + ... + 8700644.

It is an arithmetic number, because the mean of its divisors is an integer number (132266925).

Almost surely, 211214300000 is an apocalyptic number.

11214300000 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 11214300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19046437200).

11214300000 is an abundant number, since it is smaller than the sum of its proper divisors (26878574400).

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

11214300000 is an equidigital number, since it uses as much as digits as its factorization.

11214300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11214300000 its reverse (341211), we get a palindrome (11214641211).

The spelling of 11214300000 in words is "eleven billion, two hundred fourteen million, three hundred thousand".