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24212120117 is a prime number
BaseRepresentation
bin10110100011001001…
…111010001000110101
32022111101101010210112
4112203021322020311
5344041300320432
615042313432405
71514666424323
oct264311721065
968441333715
1024212120117
11a2a5124229
12483870b705
13238b2381c3
141259894d13
1596a9417b2
hex5a327a235

24212120117 has 2 divisors, whose sum is σ = 24212120118. Its totient is φ = 24212120116.

The previous prime is 24212120113. The next prime is 24212120131. The reversal of 24212120117 is 71102121242.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16310865796 + 7901254321 = 127714^2 + 88889^2 .

It is a cyclic number.

It is not a de Polignac number, because 24212120117 - 22 = 24212120113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 24212120092 and 24212120101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (24212120113) by changing a digit.

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 as a sum of consecutive naturals, namely, 12106060058 + 12106060059.

It is an arithmetic number, because the mean of its divisors is an integer number (12106060059).

Almost surely, 224212120117 is an apocalyptic number.

It is an amenable number.

24212120117 is a deficient number, since it is larger than the sum of its proper divisors (1).

24212120117 is an equidigital number, since it uses as much as digits as its factorization.

24212120117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 24212120117 its reverse (71102121242), we get a palindrome (95314241359).

The spelling of 24212120117 in words is "twenty-four billion, two hundred twelve million, one hundred twenty thousand, one hundred seventeen".