Search a number
-
+
11220998947200 = 27365271783487
BaseRepresentation
bin1010001101001001011110…
…1010000000000110000000
31110201201100201011102000000
42203102113222000012000
52432321101212302300
635510504502000000
72235455546221620
oct243222752000600
943651321142000
1011220998947200
113636887413a29
121312855a16000
1363519c079a73
142ab156494880
15146d3d41dc00
hexa3497a80180

11220998947200 has 2688 divisors, whose sum is σ = 51001580689920. Its totient is φ = 2379948687360.

The previous prime is 11220998947199. The next prime is 11220998947201. The reversal of 11220998947200 is 274989902211.

It is a happy number.

11220998947200 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 0 + 99 + 89 + 472 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11220998947199) and next prime (11220998947201).

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220998947201) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 23041065357 + ... + 23041065843.

It is an arithmetic number, because the mean of its divisors is an integer number (18973802340).

Almost surely, 211220998947200 is an apocalyptic number.

11220998947200 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 11220998947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25500790344960).

11220998947200 is an abundant number, since it is smaller than the sum of its proper divisors (39780581742720).

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

11220998947200 is an equidigital number, since it uses as much as digits as its factorization.

11220998947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 11220998947200 in words is "eleven trillion, two hundred twenty billion, nine hundred ninety-eight million, nine hundred forty-seven thousand, two hundred".