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203313029 is a prime number
BaseRepresentation
bin11000001111001…
…00111110000101
3112011120101001012
430013210332011
5404022004104
632101412005
75016063233
oct1407447605
9464511035
10203313029
11a48460a7
125810a005
133317728a
141d005953
1512cb0d6e
hexc1e4f85

203313029 has 2 divisors, whose sum is σ = 203313030. Its totient is φ = 203313028.

The previous prime is 203313017. The next prime is 203313083. The reversal of 203313029 is 920313302.

203313029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 180176929 + 23136100 = 13423^2 + 4810^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-203313029 is a prime.

It is a super-2 number, since 2×2033130292 = 82672375522309682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203312995 and 203313013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (203313529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101656514 + 101656515.

It is an arithmetic number, because the mean of its divisors is an integer number (101656515).

Almost surely, 2203313029 is an apocalyptic number.

It is an amenable number.

203313029 is a deficient number, since it is larger than the sum of its proper divisors (1).

203313029 is an equidigital number, since it uses as much as digits as its factorization.

203313029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 203313029 is about 14258.7877815753. The cubic root of 203313029 is about 588.0149981906.

The spelling of 203313029 in words is "two hundred three million, three hundred thirteen thousand, twenty-nine".