Search a number
-
+
101000110109 is a prime number
BaseRepresentation
bin101111000010000010…
…0110110000000011101
3100122200212112012101212
41132010010312000131
53123322012010414
6114222050514205
710203606525263
oct1360404660035
9318625465355
10101000110109
1139919a24688
12176a8895965
1396a7a87a82
144c61bda433
152961e3d83e
hex178413601d

101000110109 has 2 divisors, whose sum is σ = 101000110110. Its totient is φ = 101000110108.

The previous prime is 101000110103. The next prime is 101000110147. The reversal of 101000110109 is 901011000101.

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., 66346426084 + 34653684025 = 257578^2 + 186155^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000110109 - 212 = 101000106013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101000110093 and 101000110102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000110103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500055054 + 50500055055.

It is an arithmetic number, because the mean of its divisors is an integer number (50500055055).

Almost surely, 2101000110109 is an apocalyptic number.

It is an amenable number.

101000110109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000110109 is an equidigital number, since it uses as much as digits as its factorization.

101000110109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 101000110109 in words is "one hundred one billion, one hundred ten thousand, one hundred nine".