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11242334400 = 2635211212923
BaseRepresentation
bin10100111100001100…
…00110100011000000
31002000111102202112120
422132012012203000
5141011014200100
65055322124240
7545411160063
oct123606064300
932014382476
1011242334400
11484a006260
122219050680
1310a21b4b9b
147891528da
1545beac0a0
hex29e1868c0

11242334400 has 168 divisors, whose sum is σ = 40237525824. Its totient is φ = 2725401600.

The previous prime is 11242334377. The next prime is 11242334407. The reversal of 11242334400 is 443324211.

It is a super-2 number, since 2×112423344002 (a number of 21 digits) contains 22 as substring.

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 (11242334407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53662 + ... + 159261.

Almost surely, 211242334400 is an apocalyptic number.

11242334400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11242334400 is an abundant number, since it is smaller than the sum of its proper divisors (28995191424).

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

11242334400 is a wasteful number, since it uses less digits than its factorization.

11242334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212959 (or 212944 counting only the distinct ones).

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

Adding to 11242334400 its reverse (443324211), we get a palindrome (11685658611).

The spelling of 11242334400 in words is "eleven billion, two hundred forty-two million, three hundred thirty-four thousand, four hundred".