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181382084441 is a prime number
BaseRepresentation
bin1010100011101100110…
…1101111011101011001
3122100011211101120200022
42220323031233131121
510432432303200231
6215154211320225
716050550164545
oct2507315573531
9570154346608
10181382084441
116aa18504728
122b1a05b0075
131414808c5ac
148ac95a6a25
154ab8c0ec7b
hex2a3b36f759

181382084441 has 2 divisors, whose sum is σ = 181382084442. Its totient is φ = 181382084440.

The previous prime is 181382084423. The next prime is 181382084453. The reversal of 181382084441 is 144480283181.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180795040000 + 587044441 = 425200^2 + 24229^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-181382084441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 181382084392 and 181382084401.

It is not a weakly prime, because it can be changed into another prime (181382084141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90691042220 + 90691042221.

It is an arithmetic number, because the mean of its divisors is an integer number (90691042221).

Almost surely, 2181382084441 is an apocalyptic number.

It is an amenable number.

181382084441 is a deficient number, since it is larger than the sum of its proper divisors (1).

181382084441 is an equidigital number, since it uses as much as digits as its factorization.

181382084441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 196608, while the sum is 44.

The spelling of 181382084441 in words is "one hundred eighty-one billion, three hundred eighty-two million, eighty-four thousand, four hundred forty-one".