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165322909441 is a prime number
BaseRepresentation
bin1001100111111000000…
…0110110011100000001
3120210201122012222001001
42121332000312130001
510202040131100231
6203540455412001
714641566354424
oct2317600663401
9523648188031
10165322909441
1164127521878
122805a384001
1312788c87a91
14800482d9bb
154478e2ab61
hex267e036701

165322909441 has 2 divisors, whose sum is σ = 165322909442. Its totient is φ = 165322909440.

The previous prime is 165322909309. The next prime is 165322909447. The reversal of 165322909441 is 144909223561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105806427841 + 59516481600 = 325279^2 + 243960^2 .

It is a cyclic number.

It is not a de Polignac number, because 165322909441 - 219 = 165322385153 is a prime.

It is a super-3 number, since 3×1653229094413 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 165322909391 and 165322909400.

It is not a weakly prime, because it can be changed into another prime (165322909447) 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, 82661454720 + 82661454721.

It is an arithmetic number, because the mean of its divisors is an integer number (82661454721).

Almost surely, 2165322909441 is an apocalyptic number.

It is an amenable number.

165322909441 is a deficient number, since it is larger than the sum of its proper divisors (1).

165322909441 is an equidigital number, since it uses as much as digits as its factorization.

165322909441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 165322909441 in words is "one hundred sixty-five billion, three hundred twenty-two million, nine hundred nine thousand, four hundred forty-one".