Search a number
-
+
72109244041 is a prime number
BaseRepresentation
bin100001100101000001…
…0111011111010001001
320220010102021010202021
41003022002323322021
52140134431302131
653043155204441
75131635314122
oct1031202737211
9226112233667
1072109244041
112864387436a
1211b852a6721
136a52420c53
1436c0bcb049
151d208a1e11
hex10ca0bbe89

72109244041 has 2 divisors, whose sum is σ = 72109244042. Its totient is φ = 72109244040.

The previous prime is 72109244033. The next prime is 72109244069. The reversal of 72109244041 is 14044290127.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61803948816 + 10305295225 = 248604^2 + 101515^2 .

It is a cyclic number.

It is not a de Polignac number, because 72109244041 - 23 = 72109244033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72109243988 and 72109244006.

It is not a weakly prime, because it can be changed into another prime (72109244071) 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, 36054622020 + 36054622021.

It is an arithmetic number, because the mean of its divisors is an integer number (36054622021).

Almost surely, 272109244041 is an apocalyptic number.

It is an amenable number.

72109244041 is a deficient number, since it is larger than the sum of its proper divisors (1).

72109244041 is an equidigital number, since it uses as much as digits as its factorization.

72109244041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 72109244041 in words is "seventy-two billion, one hundred nine million, two hundred forty-four thousand, forty-one".