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110001117137 is a prime number
BaseRepresentation
bin110011001110010010…
…0111101011111010001
3101111221011111201210112
41212130210331133101
53300240241222022
6122311145411105
710642634032262
oct1463444753721
9344834451715
10110001117137
114271884346a
121939b199a95
13a4b07cb532
1454773d4969
152cdc2688e2
hex199c93d7d1

110001117137 has 2 divisors, whose sum is σ = 110001117138. Its totient is φ = 110001117136.

The previous prime is 110001117131. The next prime is 110001117151. The reversal of 110001117137 is 731711100011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110001008896 + 108241 = 331664^2 + 329^2 .

It is a cyclic number.

It is not a de Polignac number, because 110001117137 - 26 = 110001117073 is a prime.

It is not a weakly prime, because it can be changed into another prime (110001117131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000558568 + 55000558569.

It is an arithmetic number, because the mean of its divisors is an integer number (55000558569).

Almost surely, 2110001117137 is an apocalyptic number.

It is an amenable number.

110001117137 is a deficient number, since it is larger than the sum of its proper divisors (1).

110001117137 is an equidigital number, since it uses as much as digits as its factorization.

110001117137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147, while the sum is 23.

Adding to 110001117137 its reverse (731711100011), we get a palindrome (841712217148).

The spelling of 110001117137 in words is "one hundred ten billion, one million, one hundred seventeen thousand, one hundred thirty-seven".