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133203113 is a prime number
BaseRepresentation
bin1111111000010…
…00010010101001
3100021122102022122
413330020102221
5233044444423
621115001025
73205131161
oct774102251
9307572278
10133203113
116920a51a
1238739175
132179a714
14139955a1
15ba628c8
hex7f084a9

133203113 has 2 divisors, whose sum is σ = 133203114. Its totient is φ = 133203112.

The previous prime is 133203107. The next prime is 133203139. The reversal of 133203113 is 311302331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119858704 + 13344409 = 10948^2 + 3653^2 .

It is a cyclic number.

It is not a de Polignac number, because 133203113 - 28 = 133202857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133203091 and 133203100.

It is not a weakly prime, because it can be changed into another prime (133203163) 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, 66601556 + 66601557.

It is an arithmetic number, because the mean of its divisors is an integer number (66601557).

Almost surely, 2133203113 is an apocalyptic number.

It is an amenable number.

133203113 is a deficient number, since it is larger than the sum of its proper divisors (1).

133203113 is an equidigital number, since it uses as much as digits as its factorization.

133203113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 133203113 is about 11541.3653005180. The cubic root of 133203113 is about 510.7065856394.

Adding to 133203113 its reverse (311302331), we get a palindrome (444505444).

The spelling of 133203113 in words is "one hundred thirty-three million, two hundred three thousand, one hundred thirteen".