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13801873 is a prime number
BaseRepresentation
bin110100101001…
…100110010001
3221222012121111
4310221212101
512013124443
61211453321
7225212461
oct64514621
927865544
1013801873
117877608
124757241
132b231b7
141b93ba1
15132969d
hexd29991

13801873 has 2 divisors, whose sum is σ = 13801874. Its totient is φ = 13801872.

The previous prime is 13801867. The next prime is 13801927. The reversal of 13801873 is 37810831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13300609 + 501264 = 3647^2 + 708^2 .

It is a cyclic number.

It is not a de Polignac number, because 13801873 - 217 = 13670801 is a prime.

It is a super-3 number, since 3×138018733 (a number of 22 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (13801273) 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, 6900936 + 6900937.

It is an arithmetic number, because the mean of its divisors is an integer number (6900937).

Almost surely, 213801873 is an apocalyptic number.

It is an amenable number.

13801873 is a deficient number, since it is larger than the sum of its proper divisors (1).

13801873 is an equidigital number, since it uses as much as digits as its factorization.

13801873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 13801873 is about 3715.0872129736. The cubic root of 13801873 is about 239.8718818509.

The spelling of 13801873 in words is "thirteen million, eight hundred one thousand, eight hundred seventy-three".