Search a number
-
+
37131300341 is a prime number
BaseRepresentation
bin100010100101001100…
…101010110111110101
310112211202002111100222
4202211030222313311
51102021103102331
625020300344125
72453101562642
oct424514526765
9115752074328
1037131300341
1114824718583
127243245045
133669950645
141b235c2dc9
15e74c2bb7b
hex8a532adf5

37131300341 has 2 divisors, whose sum is σ = 37131300342. Its totient is φ = 37131300340.

The previous prime is 37131300319. The next prime is 37131300391. The reversal of 37131300341 is 14300313173.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21127785316 + 16003515025 = 145354^2 + 126505^2 .

It is a cyclic number.

It is not a de Polignac number, because 37131300341 - 230 = 36057558517 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 37131300341.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37131300391) 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, 18565650170 + 18565650171.

It is an arithmetic number, because the mean of its divisors is an integer number (18565650171).

Almost surely, 237131300341 is an apocalyptic number.

It is an amenable number.

37131300341 is a deficient number, since it is larger than the sum of its proper divisors (1).

37131300341 is an equidigital number, since it uses as much as digits as its factorization.

37131300341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 26.

The spelling of 37131300341 in words is "thirty-seven billion, one hundred thirty-one million, three hundred thousand, three hundred forty-one".