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203131993 is a prime number
BaseRepresentation
bin11000001101110…
…00110001011001
3112011020011201011
430012320301121
5404000210433
632053453521
75014410361
oct1406706131
9464204634
10203131993
11a4732089
12580412a1
1333112a5c
141cd999a1
1512c773cd
hexc1b8c59

203131993 has 2 divisors, whose sum is σ = 203131994. Its totient is φ = 203131992.

The previous prime is 203131969. The next prime is 203132003. The reversal of 203131993 is 399131302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202549824 + 582169 = 14232^2 + 763^2 .

It is a cyclic number.

It is not a de Polignac number, because 203131993 - 225 = 169577561 is a prime.

It is not a weakly prime, because it can be changed into another prime (203131393) 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, 101565996 + 101565997.

It is an arithmetic number, because the mean of its divisors is an integer number (101565997).

Almost surely, 2203131993 is an apocalyptic number.

It is an amenable number.

203131993 is a deficient number, since it is larger than the sum of its proper divisors (1).

203131993 is an equidigital number, since it uses as much as digits as its factorization.

203131993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 31.

The square root of 203131993 is about 14252.4381422969. The cubic root of 203131993 is about 587.8404176511.

The spelling of 203131993 in words is "two hundred three million, one hundred thirty-one thousand, nine hundred ninety-three".