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100141117 is a prime number
BaseRepresentation
bin1011111100000…
…00100000111101
320222102200210021
411332000200331
5201114003432
613534212141
72324120416
oct576004075
9228380707
10100141117
115158855a
1229654051
1317992acb
14d42a80d
158bd1697
hex5f8083d

100141117 has 2 divisors, whose sum is σ = 100141118. Its totient is φ = 100141116.

The previous prime is 100141091. The next prime is 100141123. The reversal of 100141117 is 711141001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68657796 + 31483321 = 8286^2 + 5611^2 .

It is an emirp because it is prime and its reverse (711141001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100141117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100141117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100141127) 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, 50070558 + 50070559.

It is an arithmetic number, because the mean of its divisors is an integer number (50070559).

Almost surely, 2100141117 is an apocalyptic number.

It is an amenable number.

100141117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100141117 is an equidigital number, since it uses as much as digits as its factorization.

100141117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 16.

The square root of 100141117 is about 10007.0533625039. The cubic root of 100141117 is about 464.3771164359.

Adding to 100141117 its reverse (711141001), we get a palindrome (811282118).

The spelling of 100141117 in words is "one hundred million, one hundred forty-one thousand, one hundred seventeen".