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100008109 is a prime number
BaseRepresentation
bin1011111011000…
…00000010101101
320222011221100001
411331200002231
5201100224414
613531304301
72323024555
oct575400255
9228157301
10100008109
11514a7633
12295ab091
13179473c6
14d3d4165
158ba7074
hex5f600ad

100008109 has 2 divisors, whose sum is σ = 100008110. Its totient is φ = 100008108.

The previous prime is 100008091. The next prime is 100008113. The reversal of 100008109 is 901800001.

Together with previous prime (100008091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82410084 + 17598025 = 9078^2 + 4195^2 .

It is a cyclic number.

It is not a de Polignac number, because 100008109 - 211 = 100006061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100008119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50004054 + 50004055.

It is an arithmetic number, because the mean of its divisors is an integer number (50004055).

Almost surely, 2100008109 is an apocalyptic number.

It is an amenable number.

100008109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100008109 is an equidigital number, since it uses as much as digits as its factorization.

100008109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 100008109 is about 10000.4054417808. The cubic root of 100008109 is about 464.1714292368.

The spelling of 100008109 in words is "one hundred million, eight thousand, one hundred nine".