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31893013 is a prime number
BaseRepresentation
bin111100110101…
…0011000010101
32020000022222201
41321222120111
531131034023
63055324501
7535041355
oct171523025
966008881
1031893013
1117003769
12a820731
1367b8809
144342b65
152beebad
hex1e6a615

31893013 has 2 divisors, whose sum is σ = 31893014. Its totient is φ = 31893012.

The previous prime is 31892983. The next prime is 31893041. The reversal of 31893013 is 31039813.

It is an a-pointer prime, because the next prime (31893041) can be obtained adding 31893013 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27804529 + 4088484 = 5273^2 + 2022^2 .

It is a cyclic number.

It is not a de Polignac number, because 31893013 - 217 = 31761941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31893083) 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, 15946506 + 15946507.

It is an arithmetic number, because the mean of its divisors is an integer number (15946507).

Almost surely, 231893013 is an apocalyptic number.

It is an amenable number.

31893013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31893013 is an equidigital number, since it uses as much as digits as its factorization.

31893013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 31893013 is about 5647.3899280995. The cubic root of 31893013 is about 317.1260001920.

The spelling of 31893013 in words is "thirty-one million, eight hundred ninety-three thousand, thirteen".