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100131067 is a prime number
BaseRepresentation
bin1011111011111…
…10000011111011
320222102012000001
411331332003323
5201113143232
613534053431
72324046211
oct575760373
9228365001
10100131067
1151580a53
122964a277
131798b36a
14d426cb1
158bcd6e7
hex5f7e0fb

100131067 has 2 divisors, whose sum is σ = 100131068. Its totient is φ = 100131066.

The previous prime is 100131049. The next prime is 100131077. The reversal of 100131067 is 760131001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100131067 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100131077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50065533 + 50065534.

It is an arithmetic number, because the mean of its divisors is an integer number (50065534).

Almost surely, 2100131067 is an apocalyptic number.

100131067 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131067 is an equidigital number, since it uses as much as digits as its factorization.

100131067 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 100131067 is about 10006.5512040863. The cubic root of 100131067 is about 464.3615812049.

Adding to 100131067 its reverse (760131001), we get a palindrome (860262068).

The spelling of 100131067 in words is "one hundred million, one hundred thirty-one thousand, sixty-seven".