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24131505961 is a prime number
BaseRepresentation
bin10110011110010110…
…011000111100101001
32022021202200111222001
4112132112120330221
5343410131142321
615030313531001
71513000262533
oct263626307451
968252614861
1024131505961
11a263673662
124815713a61
132377621414
14124ccac853
1596381ac91
hex59e598f29

24131505961 has 2 divisors, whose sum is σ = 24131505962. Its totient is φ = 24131505960.

The previous prime is 24131505929. The next prime is 24131505973. The reversal of 24131505961 is 16950513142.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18944769600 + 5186736361 = 137640^2 + 72019^2 .

It is a cyclic number.

It is not a de Polignac number, because 24131505961 - 25 = 24131505929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 24131505961.

It is not a weakly prime, because it can be changed into another prime (24131505991) 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 as a sum of consecutive naturals, namely, 12065752980 + 12065752981.

It is an arithmetic number, because the mean of its divisors is an integer number (12065752981).

Almost surely, 224131505961 is an apocalyptic number.

It is an amenable number.

24131505961 is a deficient number, since it is larger than the sum of its proper divisors (1).

24131505961 is an equidigital number, since it uses as much as digits as its factorization.

24131505961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 24131505961 in words is "twenty-four billion, one hundred thirty-one million, five hundred five thousand, nine hundred sixty-one".