Search a number
-
+
1114122137 is a prime number
BaseRepresentation
bin100001001101000…
…0010011110011001
32212122102021020212
41002122002132121
54240203402022
6302315300505
736415611332
oct10232023631
92778367225
101114122137
115219904a7
1227114a735
13149a8688b
14a7d77289
1567c253e2
hex42682799

1114122137 has 2 divisors, whose sum is σ = 1114122138. Its totient is φ = 1114122136.

The previous prime is 1114122101. The next prime is 1114122143. The reversal of 1114122137 is 7312214111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1093228096 + 20894041 = 33064^2 + 4571^2 .

It is an emirp because it is prime and its reverse (7312214111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1114122137 - 28 = 1114121881 is a prime.

It is not a weakly prime, because it can be changed into another prime (1114122157) 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, 557061068 + 557061069.

It is an arithmetic number, because the mean of its divisors is an integer number (557061069).

Almost surely, 21114122137 is an apocalyptic number.

It is an amenable number.

1114122137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1114122137 is an equidigital number, since it uses as much as digits as its factorization.

1114122137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 336, while the sum is 23.

The square root of 1114122137 is about 33378.4681643721. The cubic root of 1114122137 is about 1036.6789205423.

Adding to 1114122137 its reverse (7312214111), we get a palindrome (8426336248).

The spelling of 1114122137 in words is "one billion, one hundred fourteen million, one hundred twenty-two thousand, one hundred thirty-seven".