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11237149873 is a prime number
BaseRepresentation
bin10100111011100100…
…10100110010110001
31002000010200100201001
422131302110302301
5141003202243443
65055015042001
7545316124615
oct123562246261
932003610631
1011237149873
114847095024
122217370301
1310a10bb111
147885a3345
1545b7d5d4d
hex29dc94cb1

11237149873 has 2 divisors, whose sum is σ = 11237149874. Its totient is φ = 11237149872.

The previous prime is 11237149849. The next prime is 11237149897. The reversal of 11237149873 is 37894173211.

11237149873 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (11237149849) and next prime (11237149897).

It can be written as a sum of positive squares in only one way, i.e., 9652473009 + 1584676864 = 98247^2 + 39808^2 .

It is a cyclic number.

It is not a de Polignac number, because 11237149873 - 225 = 11203595441 is a prime.

It is a super-2 number, since 2×112371498732 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11237149373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5618574936 + 5618574937.

It is an arithmetic number, because the mean of its divisors is an integer number (5618574937).

Almost surely, 211237149873 is an apocalyptic number.

It is an amenable number.

11237149873 is a deficient number, since it is larger than the sum of its proper divisors (1).

11237149873 is an equidigital number, since it uses as much as digits as its factorization.

11237149873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 254016, while the sum is 46.

The spelling of 11237149873 in words is "eleven billion, two hundred thirty-seven million, one hundred forty-nine thousand, eight hundred seventy-three".