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9851106734129 is a prime number
BaseRepresentation
bin1000111101011010001110…
…1101111011000000110001
31021212202102120021122202202
42033112203231323000301
52242400031310443004
632541311433352545
72034501415434203
oct217264355730061
937782376248682
109851106734129
113158915a2a681
121131263868755
13565c55c76c3b
14260b20750773
151213b35c9b1e
hex8f5a3b7b031

9851106734129 has 2 divisors, whose sum is σ = 9851106734130. Its totient is φ = 9851106734128.

The previous prime is 9851106734123. The next prime is 9851106734149. The reversal of 9851106734129 is 9214376011589.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9200011055104 + 651095679025 = 3033152^2 + 806905^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9851106734129 is a prime.

It is not a weakly prime, because it can be changed into another prime (9851106734123) 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, 4925553367064 + 4925553367065.

It is an arithmetic number, because the mean of its divisors is an integer number (4925553367065).

It is a 2-persistent number, because it is pandigital, and so is 2⋅9851106734129 = 19702213468258, but 3⋅9851106734129 = 29553320202387 is not.

Almost surely, 29851106734129 is an apocalyptic number.

It is an amenable number.

9851106734129 is a deficient number, since it is larger than the sum of its proper divisors (1).

9851106734129 is an equidigital number, since it uses as much as digits as its factorization.

9851106734129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3265920, while the sum is 56.

The spelling of 9851106734129 in words is "nine trillion, eight hundred fifty-one billion, one hundred six million, seven hundred thirty-four thousand, one hundred twenty-nine".