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11242342320 = 24351121013833
BaseRepresentation
bin10100111100001100…
…01000011110110000
31002000111110011101220
422132012020132300
5141011014423240
65055322225040
7545411222136
oct123606103660
932014404356
1011242342320
11484a011200
122219055180
1310a21b8681
14789155756
1545beae5d0
hex29e1887b0

11242342320 has 240 divisors, whose sum is σ = 38696960736. Its totient is φ = 2697728000.

The previous prime is 11242342283. The next prime is 11242342337. The reversal of 11242342320 is 2324324211.

It is a happy number.

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 (24).

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, 2931124 + ... + 2934956.

Almost surely, 211242342320 is an apocalyptic number.

11242342320 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 11242342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19348480368).

11242342320 is an abundant number, since it is smaller than the sum of its proper divisors (27454618416).

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

11242342320 is a wasteful number, since it uses less digits than its factorization.

11242342320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11242342320 its reverse (2324324211), we get a palindrome (13566666531).

The spelling of 11242342320 in words is "eleven billion, two hundred forty-two million, three hundred forty-two thousand, three hundred twenty".