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181381210601 is a prime number
BaseRepresentation
bin1010100011101100101…
…0011010000111101001
3122100011202202011222212
42220323022122013221
510432432042214401
6215154140454505
716050536565113
oct2507312320751
9570152664885
10181381210601
116aa17a68148
122b1a024a435
1314147b44926
148ac941a3b3
154ab8adadbb
hex2a3b29a1e9

181381210601 has 2 divisors, whose sum is σ = 181381210602. Its totient is φ = 181381210600.

The previous prime is 181381210567. The next prime is 181381210663. The reversal of 181381210601 is 106012183181.

181381210601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 180900504976 + 480705625 = 425324^2 + 21925^2 .

It is a cyclic number.

It is not a de Polignac number, because 181381210601 - 26 = 181381210537 is a prime.

It is not a weakly prime, because it can be changed into another prime (181381212601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90690605300 + 90690605301.

It is an arithmetic number, because the mean of its divisors is an integer number (90690605301).

Almost surely, 2181381210601 is an apocalyptic number.

It is an amenable number.

181381210601 is a deficient number, since it is larger than the sum of its proper divisors (1).

181381210601 is an equidigital number, since it uses as much as digits as its factorization.

181381210601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 32.

Adding to 181381210601 its reverse (106012183181), we get a palindrome (287393393782).

The spelling of 181381210601 in words is "one hundred eighty-one billion, three hundred eighty-one million, two hundred ten thousand, six hundred one".