Search a number
-
+
11001222000 = 2432532326573
BaseRepresentation
bin10100011111011100…
…10101001101110000
31001101200201222111200
422033232111031300
5140012303101000
65015350211200
7536422562346
oct121756251560
931350658450
1011001222000
1147359a2a0a
122170353b00
131064264922
1476510b996
15445c31500
hex28fb95370

11001222000 has 240 divisors, whose sum is σ = 40095701568. Its totient is φ = 2806003200.

The previous prime is 11001221993. The next prime is 11001222017. The reversal of 11001222000 is 22210011.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400714 + ... + 427286.

Almost surely, 211001222000 is an apocalyptic number.

11001222000 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 11001222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20047850784).

11001222000 is an abundant number, since it is smaller than the sum of its proper divisors (29094479568).

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

11001222000 is a wasteful number, since it uses less digits than its factorization.

11001222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26625 (or 26606 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11001222000 its reverse (22210011), we get a palindrome (11023432011).

The spelling of 11001222000 in words is "eleven billion, one million, two hundred twenty-two thousand".