Search a number
-
+
11034133422000 = 2435313433289843
BaseRepresentation
bin1010000010010001010110…
…0110100101111110110000
31110001212000201201011201020
42200210111212211332300
52421240401124001000
635245002205135440
72216122053401223
oct240442546457660
943055021634636
1011034133422000
113574605726087
1212a25a4b5a580
1362068bc53a90
142a20aa9455ba
15142053110ba0
hexa09159a5fb0

11034133422000 has 320 divisors, whose sum is σ = 39201465278976. Its totient is φ = 2652928588800.

The previous prime is 11034133421999. The next prime is 11034133422007. The reversal of 11034133422000 is 22433143011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11034133422007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1709079 + ... + 4998921.

Almost surely, 211034133422000 is an apocalyptic number.

11034133422000 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 11034133422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19600732639488).

11034133422000 is an abundant number, since it is smaller than the sum of its proper divisors (28167331856976).

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

11034133422000 is a wasteful number, since it uses less digits than its factorization.

11034133422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289925 (or 3289909 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11034133422000 its reverse (22433143011), we get a palindrome (11056566565011).

The spelling of 11034133422000 in words is "eleven trillion, thirty-four billion, one hundred thirty-three million, four hundred twenty-two thousand".