Search a number
-
+
110100010109 is a prime number
BaseRepresentation
bin110011010001001111…
…0001101010001111101
3101112012001121000110012
41212202132031101331
53300441100310414
6122325041153005
710645244434055
oct1464236152175
9345161530405
10110100010109
11427696491a1
121940832b765
13a4c814519b
1454865b8565
152ce5ca033e
hex19a278d47d

110100010109 has 2 divisors, whose sum is σ = 110100010110. Its totient is φ = 110100010108.

The previous prime is 110100010091. The next prime is 110100010127. The reversal of 110100010109 is 901010001011.

It is a happy number.

Together with previous prime (110100010091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a balanced prime because it is at equal distance from previous prime (110100010091) and next prime (110100010127).

It can be written as a sum of positive squares in only one way, i.e., 85145489209 + 24954520900 = 291797^2 + 157970^2 .

It is a cyclic number.

It is not a de Polignac number, because 110100010109 - 216 = 110099944573 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110100010093 and 110100010102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110100010309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050005054 + 55050005055.

It is an arithmetic number, because the mean of its divisors is an integer number (55050005055).

Almost surely, 2110100010109 is an apocalyptic number.

It is an amenable number.

110100010109 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100010109 is an equidigital number, since it uses as much as digits as its factorization.

110100010109 is an evil number, because the sum of its binary digits is even.

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

The spelling of 110100010109 in words is "one hundred ten billion, one hundred million, ten thousand, one hundred nine".