Search a number
-
+
10132237 is a prime number
BaseRepresentation
bin100110101001…
…101100001101
3201001202211001
4212221230031
510043212422
61001100301
7152060023
oct46515415
921052731
1010132237
1157a0555
123487691
132139b0b
1414ba713
15d52227
hex9a9b0d

10132237 has 2 divisors, whose sum is σ = 10132238. Its totient is φ = 10132236.

The previous prime is 10132229. The next prime is 10132273. The reversal of 10132237 is 73223101.

10132237 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (10132273) 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., 8444836 + 1687401 = 2906^2 + 1299^2 .

It is a cyclic number.

It is not a de Polignac number, because 10132237 - 23 = 10132229 is a prime.

It is a super-3 number, since 3×101322373 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10132217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066118 + 5066119.

It is an arithmetic number, because the mean of its divisors is an integer number (5066119).

Almost surely, 210132237 is an apocalyptic number.

It is an amenable number.

10132237 is a deficient number, since it is larger than the sum of its proper divisors (1).

10132237 is an equidigital number, since it uses as much as digits as its factorization.

10132237 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 10132237 is about 3183.1174970459. The cubic root of 10132237 is about 216.3889667773.

Adding to 10132237 its reverse (73223101), we get a palindrome (83355338).

The spelling of 10132237 in words is "ten million, one hundred thirty-two thousand, two hundred thirty-seven".