Search a number
-
+
10083407237 is a prime number
BaseRepresentation
bin10010110010000010…
…01001010110000101
3222000201201011100022
421121001021112011
5131122323012422
64344322224525
7504606355511
oct113101112605
928021634308
1010083407237
114304903112
121b54ab5145
13c49071677
146b9275141
153e0386342
hex259049585

10083407237 has 2 divisors, whose sum is σ = 10083407238. Its totient is φ = 10083407236.

The previous prime is 10083407221. The next prime is 10083407263. The reversal of 10083407237 is 73270438001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7236224356 + 2847182881 = 85066^2 + 53359^2 .

It is an emirp because it is prime and its reverse (73270438001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10083407237 - 24 = 10083407221 is a prime.

It is a super-5 number, since 5×100834072375 (a number of 51 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10083407197 and 10083407206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10083407287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5041703618 + 5041703619.

It is an arithmetic number, because the mean of its divisors is an integer number (5041703619).

Almost surely, 210083407237 is an apocalyptic number.

It is an amenable number.

10083407237 is a deficient number, since it is larger than the sum of its proper divisors (1).

10083407237 is an equidigital number, since it uses as much as digits as its factorization.

10083407237 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 10083407237 in words is "ten billion, eighty-three million, four hundred seven thousand, two hundred thirty-seven".