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101919149 is a prime number
BaseRepresentation
bin1100001001100…
…10100110101101
321002210000210022
412010302212231
5202042403044
614040251525
72345204243
oct604624655
9232700708
10101919149
1152592402
122a170ba5
13181661b7
14d770793
158e333ee
hex61329ad

101919149 has 2 divisors, whose sum is σ = 101919150. Its totient is φ = 101919148.

The previous prime is 101919101. The next prime is 101919157. The reversal of 101919149 is 941919101.

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., 99301225 + 2617924 = 9965^2 + 1618^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101919149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101918149) 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, 50959574 + 50959575.

It is an arithmetic number, because the mean of its divisors is an integer number (50959575).

Almost surely, 2101919149 is an apocalyptic number.

It is an amenable number.

101919149 is a deficient number, since it is larger than the sum of its proper divisors (1).

101919149 is an equidigital number, since it uses as much as digits as its factorization.

101919149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 35.

The square root of 101919149 is about 10095.5014239016. The cubic root of 101919149 is about 467.1093884218.

The spelling of 101919149 in words is "one hundred one million, nine hundred nineteen thousand, one hundred forty-nine".