Search a number
-
+
11222113320000 = 2632541137191401
BaseRepresentation
bin1010001101001101101000…
…0100111111110001000000
31110201211020101001102002200
42203103122010333301000
52432330342002220000
635511211230513200
72235525300226122
oct243233204776100
943654211042080
1011222113320000
1136372a9455790
121312b07065800
13635318bc075b
142ab220495212
15146da6193500
hexa34da13fc40

11222113320000 has 1680 divisors, whose sum is σ = 45382689690624. Its totient is φ = 2626560000000.

The previous prime is 11222113319981. The next prime is 11222113320001. The reversal of 11222113320000 is 2331122211.

11222113320000 is a `hidden beast` number, since 1 + 122 + 211 + 332 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11222113320001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27985319800 + ... + 27985320200.

Almost surely, 211222113320000 is an apocalyptic number.

11222113320000 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 11222113320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22691344845312).

11222113320000 is an abundant number, since it is smaller than the sum of its proper divisors (34160576370624).

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

11222113320000 is a wasteful number, since it uses less digits than its factorization.

11222113320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11222113320000 its reverse (2331122211), we get a palindrome (11224444442211).

The spelling of 11222113320000 in words is "eleven trillion, two hundred twenty-two billion, one hundred thirteen million, three hundred twenty thousand".