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11242040032 = 257146310687
BaseRepresentation
bin10100111100001001…
…11110101011100000
31002000110212210202001
422132010332223200
5141010430240112
65055311533344
7545405522626
oct123604765340
932013783661
1011242040032
114849925083
122218b2a254
1310a2110bc2
147890b7516
1545be4ec57
hex29e13eae0

11242040032 has 48 divisors (see below), whose sum is σ = 22495076352. Its totient is φ = 5529363840.

The previous prime is 11242040011. The next prime is 11242040057. The reversal of 11242040032 is 23004024211.

11242040032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112420400322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11242039991 and 11242040009.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1046593 + ... + 1057279.

It is an arithmetic number, because the mean of its divisors is an integer number (468647424).

Almost surely, 211242040032 is an apocalyptic number.

It is an amenable number.

11242040032 is an abundant number, since it is smaller than the sum of its proper divisors (11253036320).

11242040032 is a wasteful number, since it uses less digits than its factorization.

11242040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11231 (or 11223 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 11242040032 its reverse (23004024211), we get a palindrome (34246064243).

The spelling of 11242040032 in words is "eleven billion, two hundred forty-two million, forty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 71 142 284 463 568 926 1136 1852 2272 3704 7408 10687 14816 21374 32873 42748 65746 85496 131492 170992 262984 341984 525968 758777 1051936 1517554 3035108 4948081 6070216 9896162 12140432 19792324 24280864 39584648 79169296 158338592 351313751 702627502 1405255004 2810510008 5621020016 11242040032