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110001020117 is a prime number
BaseRepresentation
bin110011001110010010…
…0100101110011010101
3101111221011022210201012
41212130210211303111
53300240230120432
6122311143342005
710642633146362
oct1463444456325
9344834283635
10110001020117
114271878758a
121939b151905
13a4b0796321
1454773ab469
152cdc249cb2
hex199c925cd5

110001020117 has 2 divisors, whose sum is σ = 110001020118. Its totient is φ = 110001020116.

The previous prime is 110001020099. The next prime is 110001020123. The reversal of 110001020117 is 711020100011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68664437521 + 41336582596 = 262039^2 + 203314^2 .

It is a cyclic number.

It is not a de Polignac number, because 110001020117 - 26 = 110001020053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110001020147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000510058 + 55000510059.

It is an arithmetic number, because the mean of its divisors is an integer number (55000510059).

Almost surely, 2110001020117 is an apocalyptic number.

It is an amenable number.

110001020117 is a deficient number, since it is larger than the sum of its proper divisors (1).

110001020117 is an equidigital number, since it uses as much as digits as its factorization.

110001020117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 14.

Adding to 110001020117 its reverse (711020100011), we get a palindrome (821021120128).

The spelling of 110001020117 in words is "one hundred ten billion, one million, twenty thousand, one hundred seventeen".