Search a number
-
+
112310137 is a prime number
BaseRepresentation
bin1101011000110…
…11011101111001
321211022221112201
412230123131321
5212222411022
615051110201
72532422542
oct654333571
9254287481
10112310137
115843a2a5
1231742361
131a363a04
1410cb74c9
159cd7127
hex6b1b779

112310137 has 2 divisors, whose sum is σ = 112310138. Its totient is φ = 112310136.

The previous prime is 112310131. The next prime is 112310141. The reversal of 112310137 is 731013211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71554681 + 40755456 = 8459^2 + 6384^2 .

It is an emirp because it is prime and its reverse (731013211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112310137 - 23 = 112310129 is a prime.

It is a super-2 number, since 2×1123101372 = 25227133745917538, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (112310131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56155068 + 56155069.

It is an arithmetic number, because the mean of its divisors is an integer number (56155069).

Almost surely, 2112310137 is an apocalyptic number.

It is an amenable number.

112310137 is a deficient number, since it is larger than the sum of its proper divisors (1).

112310137 is an equidigital number, since it uses as much as digits as its factorization.

112310137 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 112310137 is about 10597.6477106950. The cubic root of 112310137 is about 482.4729679613.

Adding to 112310137 its reverse (731013211), we get a palindrome (843323348).

It can be divided in two parts, 112 and 310137, that added together give a square (310249 = 5572).

The spelling of 112310137 in words is "one hundred twelve million, three hundred ten thousand, one hundred thirty-seven".