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11242320003040 = 2557101922710771
BaseRepresentation
bin1010001110011000111001…
…1111010111111111100000
31110210202101121111021011211
42203212032133113333200
52433143232410044130
635524352302115504
72240142112213360
oct243461637277740
943722347437154
1011242320003040
113644928611835
121316a0627bb94
136371b9352539
142ac1b9dbc9a0
1514768a138a2a
hexa398e7d7fe0

11242320003040 has 192 divisors, whose sum is σ = 30660969927168. Its totient is φ = 3815578368000.

The previous prime is 11242320002993. The next prime is 11242320003041. The reversal of 11242320003040 is 4030002324211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11242320003041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1043752855 + ... + 1043763625.

It is an arithmetic number, because the mean of its divisors is an integer number (159692551704).

Almost surely, 211242320003040 is an apocalyptic number.

11242320003040 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 11242320003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15330484963584).

11242320003040 is an abundant number, since it is smaller than the sum of its proper divisors (19418649924128).

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

11242320003040 is a wasteful number, since it uses less digits than its factorization.

11242320003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20121 (or 20113 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 11242320003040 its reverse (4030002324211), we get a palindrome (15272322327251).

The spelling of 11242320003040 in words is "eleven trillion, two hundred forty-two billion, three hundred twenty million, three thousand, forty".