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138680833 is a prime number
BaseRepresentation
bin10000100010000…
…01101000000001
3100122221201100011
420101001220001
5241000241313
621432224521
73302524204
oct1021015001
9318851304
10138680833
1171310a65
123a53b141
1322967a85
14145bd93b
15c29593d
hex8441a01

138680833 has 2 divisors, whose sum is σ = 138680834. Its totient is φ = 138680832.

The previous prime is 138680761. The next prime is 138680837. The reversal of 138680833 is 338086831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122943744 + 15737089 = 11088^2 + 3967^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-138680833 is a prime.

It is a super-3 number, since 3×1386808333 (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (138680837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69340416 + 69340417.

It is an arithmetic number, because the mean of its divisors is an integer number (69340417).

Almost surely, 2138680833 is an apocalyptic number.

It is an amenable number.

138680833 is a deficient number, since it is larger than the sum of its proper divisors (1).

138680833 is an equidigital number, since it uses as much as digits as its factorization.

138680833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 138680833 is about 11776.2826477628. The cubic root of 138680833 is about 517.6133638863.

The spelling of 138680833 in words is "one hundred thirty-eight million, six hundred eighty thousand, eight hundred thirty-three".