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106266251209 is a prime number
BaseRepresentation
bin110001011110111110…
…1100100111111001001
3101011021212200212220211
41202331331210333021
53220113130014314
6120452410321121
710451243142316
oct1427575447711
9334255625824
10106266251209
114108158a408
12187184291a1
13a036ababb1
145201379d0d
152b6e4169c4
hex18bdf64fc9

106266251209 has 2 divisors, whose sum is σ = 106266251210. Its totient is φ = 106266251208.

The previous prime is 106266251141. The next prime is 106266251219. The reversal of 106266251209 is 902152662601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105997127184 + 269124025 = 325572^2 + 16405^2 .

It is a cyclic number.

It is not a de Polignac number, because 106266251209 - 231 = 104118767561 is a prime.

It is a super-2 number, since 2×1062662512092 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106266251219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53133125604 + 53133125605.

It is an arithmetic number, because the mean of its divisors is an integer number (53133125605).

Almost surely, 2106266251209 is an apocalyptic number.

It is an amenable number.

106266251209 is a deficient number, since it is larger than the sum of its proper divisors (1).

106266251209 is an equidigital number, since it uses as much as digits as its factorization.

106266251209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 106266251209 in words is "one hundred six billion, two hundred sixty-six million, two hundred fifty-one thousand, two hundred nine".