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114533137 is a prime number
BaseRepresentation
bin1101101001110…
…10001100010001
321222111212221001
412310322030101
5213310030022
615210502001
72560341565
oct664721421
9258455831
10114533137
1159718494
1232434901
131a9617b4
14112d56a5
15a0c5b27
hex6d3a311

114533137 has 2 divisors, whose sum is σ = 114533138. Its totient is φ = 114533136.

The previous prime is 114533117. The next prime is 114533149. The reversal of 114533137 is 731335411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92621376 + 21911761 = 9624^2 + 4681^2 .

It is a cyclic number.

It is not a de Polignac number, because 114533137 - 211 = 114531089 is a prime.

It is not a weakly prime, because it can be changed into another prime (114533117) 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, 57266568 + 57266569.

It is an arithmetic number, because the mean of its divisors is an integer number (57266569).

Almost surely, 2114533137 is an apocalyptic number.

It is an amenable number.

114533137 is a deficient number, since it is larger than the sum of its proper divisors (1).

114533137 is an equidigital number, since it uses as much as digits as its factorization.

114533137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3780, while the sum is 28.

The square root of 114533137 is about 10702.0155578283. The cubic root of 114533137 is about 485.6354542973.

Adding to 114533137 its reverse (731335411), we get a palindrome (845868548).

The spelling of 114533137 in words is "one hundred fourteen million, five hundred thirty-three thousand, one hundred thirty-seven".