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181010000117 is a prime number
BaseRepresentation
bin1010100010010100001…
…0010110100011110101
3122022012220020201221102
42220211002112203311
510431202030000432
6215053240255445
716035411420602
oct2504502264365
9568186221842
10181010000117
116a847476221
122b0b7a71585
13140b8c7335b
148a91dcb6a9
154a96212962
hex2a250968f5

181010000117 has 2 divisors, whose sum is σ = 181010000118. Its totient is φ = 181010000116.

The previous prime is 181010000107. The next prime is 181010000183. The reversal of 181010000117 is 711000010181.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 145283707921 + 35726292196 = 381161^2 + 189014^2 .

It is a cyclic number.

It is not a de Polignac number, because 181010000117 - 224 = 180993222901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (181010000107) 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, 90505000058 + 90505000059.

It is an arithmetic number, because the mean of its divisors is an integer number (90505000059).

Almost surely, 2181010000117 is an apocalyptic number.

It is an amenable number.

181010000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

181010000117 is an equidigital number, since it uses as much as digits as its factorization.

181010000117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 181010000117 its reverse (711000010181), we get a palindrome (892010010298).

The spelling of 181010000117 in words is "one hundred eighty-one billion, ten million, one hundred seventeen", and thus it is an aban number.