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383205118249 is a prime number
BaseRepresentation
bin1011001001110001100…
…11100001000100101001
31100122010020000222102101
411210320303201010221
522234301002240444
6452013023333401
736454115522122
oct5447063410451
91318106028371
10383205118249
11138575332138
1262326751261
132a19cca4aa5
1414793839049
159e7c23c3d4
hex5938ce1129

383205118249 has 2 divisors, whose sum is σ = 383205118250. Its totient is φ = 383205118248.

The previous prime is 383205118201. The next prime is 383205118279. The reversal of 383205118249 is 942811502383.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 342786830400 + 40418287849 = 585480^2 + 201043^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-383205118249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 383205118199 and 383205118208.

It is not a weakly prime, because it can be changed into another prime (383205118279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 191602559124 + 191602559125.

It is an arithmetic number, because the mean of its divisors is an integer number (191602559125).

Almost surely, 2383205118249 is an apocalyptic number.

It is an amenable number.

383205118249 is a deficient number, since it is larger than the sum of its proper divisors (1).

383205118249 is an equidigital number, since it uses as much as digits as its factorization.

383205118249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 383205118249 in words is "three hundred eighty-three billion, two hundred five million, one hundred eighteen thousand, two hundred forty-nine".