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181820101033 is a prime number
BaseRepresentation
bin1010100101010101010…
…0101001000110101001
3122101022100121010111001
42221111110221012221
510434331421213113
6215305455435001
716064446234054
oct2512524510651
9571270533431
10181820101033
117012278600a
122b2a3225a61
13141b7a519cc
148b2b825a9b
154ae23d27dd
hex2a555291a9

181820101033 has 2 divisors, whose sum is σ = 181820101034. Its totient is φ = 181820101032.

The previous prime is 181820100961. The next prime is 181820101069. The reversal of 181820101033 is 330101028181.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118812574864 + 63007526169 = 344692^2 + 251013^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-181820101033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 181820100992 and 181820101010.

It is not a weakly prime, because it can be changed into another prime (181820101733) 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, 90910050516 + 90910050517.

It is an arithmetic number, because the mean of its divisors is an integer number (90910050517).

Almost surely, 2181820101033 is an apocalyptic number.

It is an amenable number.

181820101033 is a deficient number, since it is larger than the sum of its proper divisors (1).

181820101033 is an equidigital number, since it uses as much as digits as its factorization.

181820101033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 181820101033 in words is "one hundred eighty-one billion, eight hundred twenty million, one hundred one thousand, thirty-three".