Search a number
-
+
11020202112000 = 2103531011491907
BaseRepresentation
bin1010000001011101011100…
…1110110111010000000000
31110000112001211111022002210
42200113113032313100000
52421023333220041000
635234335544542120
72215116611252124
oct240272716672000
943015054438083
1011020202112000
113569706883744
12129b957481940
1361c27b945393
142a154862d584
151419da04a350
hexa05d73b7400

11020202112000 has 704 divisors, whose sum is σ = 37288269907200. Its totient is φ = 2888581120000.

The previous prime is 11020202111983. The next prime is 11020202112011. The reversal of 11020202112000 is 21120202011.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5778815047 + ... + 5778816953.

Almost surely, 211020202112000 is an apocalyptic number.

11020202112000 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 11020202112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18644134953600).

11020202112000 is an abundant number, since it is smaller than the sum of its proper divisors (26268067795200).

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

11020202112000 is a wasteful number, since it uses less digits than its factorization.

11020202112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11020202112000 its reverse (21120202011), we get a palindrome (11041322314011).

The spelling of 11020202112000 in words is "eleven trillion, twenty billion, two hundred two million, one hundred twelve thousand".