Search a number
-
+
9971288011259 is a prime number
BaseRepresentation
bin1001000100011001111100…
…0101000111000111111011
31022022020122012120002201222
42101012133011013013323
52301332144212330014
633112425123302255
72046254545434311
oct221063705070773
938266565502658
109971288011259
1131a4888149a03
12115060421a98b
13574399891583
14266881ba40b1
1512459943c08e
hex9119f1471fb

9971288011259 has 2 divisors, whose sum is σ = 9971288011260. Its totient is φ = 9971288011258.

The previous prime is 9971288011213. The next prime is 9971288011261. The reversal of 9971288011259 is 9521108821799.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9971288011259 is a prime.

It is a super-3 number, since 3×99712880112593 (a number of 40 digits) contains 333 as substring.

Together with 9971288011261, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (9971288011159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4985644005629 + 4985644005630.

It is an arithmetic number, because the mean of its divisors is an integer number (4985644005630).

Almost surely, 29971288011259 is an apocalyptic number.

9971288011259 is a deficient number, since it is larger than the sum of its proper divisors (1).

9971288011259 is an equidigital number, since it uses as much as digits as its factorization.

9971288011259 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6531840, while the sum is 62.

The spelling of 9971288011259 in words is "nine trillion, nine hundred seventy-one billion, two hundred eighty-eight million, eleven thousand, two hundred fifty-nine".