Search a number
-
+
132377105837 is a prime number
BaseRepresentation
bin111101101001001001…
…0100101010110101101
3110122200120212201210202
41323102102211112231
54132102014341322
6140451352443245
712364266556034
oct1732222452655
9418616781722
10132377105837
1151160474a09
12217a49a9525
13c638505932
14659b08971b
15369b8b6292
hex1ed24a55ad

132377105837 has 2 divisors, whose sum is σ = 132377105838. Its totient is φ = 132377105836.

The previous prime is 132377105821. The next prime is 132377105873. The reversal of 132377105837 is 738501773231.

Together with next prime (132377105873) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104454361636 + 27922744201 = 323194^2 + 167101^2 .

It is a cyclic number.

It is not a de Polignac number, because 132377105837 - 24 = 132377105821 is a prime.

It is a super-3 number, since 3×1323771058373 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132377105791 and 132377105800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132377105437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66188552918 + 66188552919.

It is an arithmetic number, because the mean of its divisors is an integer number (66188552919).

Almost surely, 2132377105837 is an apocalyptic number.

It is an amenable number.

132377105837 is a deficient number, since it is larger than the sum of its proper divisors (1).

132377105837 is an equidigital number, since it uses as much as digits as its factorization.

132377105837 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 740880, while the sum is 47.

The spelling of 132377105837 in words is "one hundred thirty-two billion, three hundred seventy-seven million, one hundred five thousand, eight hundred thirty-seven".