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189105337 is a prime number
BaseRepresentation
bin10110100010110…
…00010010111001
3111011211112202101
423101120102321
5341402332322
630433103401
74454240341
oct1321302271
9434745671
10189105337
1197821703
12533b7b61
1330241465
141b187d21
1511906327
hexb4584b9

189105337 has 2 divisors, whose sum is σ = 189105338. Its totient is φ = 189105336.

The previous prime is 189105313. The next prime is 189105341. The reversal of 189105337 is 733501981.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185940496 + 3164841 = 13636^2 + 1779^2 .

It is a cyclic number.

It is not a de Polignac number, because 189105337 - 27 = 189105209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 189105296 and 189105305.

It is not a weakly prime, because it can be changed into another prime (189105377) 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, 94552668 + 94552669.

It is an arithmetic number, because the mean of its divisors is an integer number (94552669).

Almost surely, 2189105337 is an apocalyptic number.

It is an amenable number.

189105337 is a deficient number, since it is larger than the sum of its proper divisors (1).

189105337 is an equidigital number, since it uses as much as digits as its factorization.

189105337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 189105337 is about 13751.5576208661. The cubic root of 189105337 is about 573.9859500743.

The spelling of 189105337 in words is "one hundred eighty-nine million, one hundred five thousand, three hundred thirty-seven".