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24130124431 = 7419547967
BaseRepresentation
bin10110011110010001…
…000111101010001111
32022021200002022212021
4112132101013222033
5343404302440211
615030224151011
71512652450000
oct263621075217
968250068767
1024130124431
11a26290a6a6
124815168467
13237725964a
14124ca2d1a7
15963646771
hex59e447a8f

24130124431 has 40 divisors (see below), whose sum is σ = 29716593280. Its totient is φ = 19538339184.

The previous prime is 24130124407. The next prime is 24130124489. The reversal of 24130124431 is 13442103142.

It is not a de Polignac number, because 24130124431 - 211 = 24130122383 is a prime.

It is a super-2 number, since 2×241301244312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 24130124396 and 24130124405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24130124401) 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 39 ways as a sum of consecutive naturals, for example, 24953110 + ... + 24954076.

It is an arithmetic number, because the mean of its divisors is an integer number (742914832).

Almost surely, 224130124431 is an apocalyptic number.

24130124431 is a deficient number, since it is larger than the sum of its proper divisors (5586468849).

24130124431 is an frugal number, since it uses more digits than its factorization.

24130124431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 24130124431 its reverse (13442103142), we get a palindrome (37572227573).

The spelling of 24130124431 in words is "twenty-four billion, one hundred thirty million, one hundred twenty-four thousand, four hundred thirty-one".

Divisors: 1 7 19 49 133 343 547 931 967 2401 3829 6517 6769 10393 18373 26803 45619 47383 72751 128611 187621 331681 509257 528949 900277 1313347 2321767 3564799 3702643 6301939 10050031 24953593 25918501 44113573 70350217 181429507 492451519 1270006549 3447160633 24130124431