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100909117 is a prime number
BaseRepresentation
bin1100000001111…
…00000000111101
321000212201021201
412000330000331
5201313042432
614002455501
72333466451
oct600740075
9230781251
10100909117
1151a62571
1229964591
1317ba154a
14d58a661
158cd3ee7
hex603c03d

100909117 has 2 divisors, whose sum is σ = 100909118. Its totient is φ = 100909116.

The previous prime is 100909111. The next prime is 100909139. The reversal of 100909117 is 711909001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52620516 + 48288601 = 7254^2 + 6949^2 .

It is a cyclic number.

It is not a de Polignac number, because 100909117 - 27 = 100908989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100909111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50454558 + 50454559.

It is an arithmetic number, because the mean of its divisors is an integer number (50454559).

Almost surely, 2100909117 is an apocalyptic number.

It is an amenable number.

100909117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100909117 is an equidigital number, since it uses as much as digits as its factorization.

100909117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 28.

The square root of 100909117 is about 10045.3530052458. The cubic root of 100909117 is about 465.5612247052.

The spelling of 100909117 in words is "one hundred million, nine hundred nine thousand, one hundred seventeen".