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24130002141 = 34742557323
BaseRepresentation
bin10110011110010000…
…101001110011011101
32022021122212010010000
4112132100221303131
5343404240032031
615030221404513
71512651430320
oct263620516335
968248763100
1024130002141
11a262836833
124815109739
132377215a9b
14124c9da7b7
159636203e6
hex59e429cdd

24130002141 has 20 divisors (see below), whose sum is σ = 41195489632. Its totient is φ = 13788572328.

The previous prime is 24130002119. The next prime is 24130002161. The reversal of 24130002141 is 14120003142.

It is not a de Polignac number, because 24130002141 - 211 = 24130000093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24130002101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21278095 + ... + 21279228.

Almost surely, 224130002141 is an apocalyptic number.

24130002141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

24130002141 is a deficient number, since it is larger than the sum of its proper divisors (17065487491).

24130002141 is an equidigital number, since it uses as much as digits as its factorization.

24130002141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42557342 (or 42557333 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 24130002141 its reverse (14120003142), we get a palindrome (38250005283).

The spelling of 24130002141 in words is "twenty-four billion, one hundred thirty million, two thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 42557323 127671969 297901261 383015907 893703783 1149047721 2681111349 3447143163 8043334047 24130002141