Search a number
-
+
11212021110000 = 24354101236637
BaseRepresentation
bin1010001100101000000010…
…0010010001010011110000
31110200212012000210000122010
42203022000202101103300
52432144204401010000
635502421551442520
72235020222655264
oct243120042212360
943625160700563
1011212021110000
113632a9a68aa67
121310b6b226440
1363439b089469
142aa943dac0a4
151469b516dd50
hexa32808914f0

11212021110000 has 300 divisors, whose sum is σ = 36556800373016. Its totient is φ = 2960188800000.

The previous prime is 11212021109987. The next prime is 11212021110233. The reversal of 11212021110000 is 1112021211.

It is a tau number, because it is divible by the number of its divisors (300).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 306011682 + ... + 306048318.

Almost surely, 211212021110000 is an apocalyptic number.

11212021110000 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 11212021110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18278400186508).

11212021110000 is an abundant number, since it is smaller than the sum of its proper divisors (25344779263016).

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

11212021110000 is an equidigital number, since it uses as much as digits as its factorization.

11212021110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36870 (or 36748 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11212021110000 its reverse (1112021211), we get a palindrome (11213133131211).

The spelling of 11212021110000 in words is "eleven trillion, two hundred twelve billion, twenty-one million, one hundred ten thousand".