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10016137 is a prime number
BaseRepresentation
bin100110001101…
…010110001001
3200211212120001
4212031112021
510031004022
6554403001
7151064365
oct46152611
920755501
1010016137
1157212aa
123430461
1320c9011
14148a2a5
15d2cb27
hex98d589

10016137 has 2 divisors, whose sum is σ = 10016138. Its totient is φ = 10016136.

The previous prime is 10016101. The next prime is 10016189. The reversal of 10016137 is 73161001.

It is a happy number.

10016137 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9369721 + 646416 = 3061^2 + 804^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10016137 is a prime.

It is not a weakly prime, because it can be changed into another prime (10016197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5008068 + 5008069.

It is an arithmetic number, because the mean of its divisors is an integer number (5008069).

Almost surely, 210016137 is an apocalyptic number.

It is an amenable number.

10016137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10016137 is an equidigital number, since it uses as much as digits as its factorization.

10016137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 10016137 is about 3164.8281153958. The cubic root of 10016137 is about 215.5592937653.

Adding to 10016137 its reverse (73161001), we get a palindrome (83177138).

It can be divided in two parts, 10016 and 137, that added together give a triangular number (10153 = T142).

The spelling of 10016137 in words is "ten million, sixteen thousand, one hundred thirty-seven".