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2124222137 is a prime number
BaseRepresentation
bin111111010011101…
…0000111010111001
312111001002122221222
41332213100322321
513322300102022
6550441241425
7103432406312
oct17647207271
95431078858
102124222137
119a0082594
124b3493275
1327b11bc9b
14162193609
15c674e242
hex7e9d0eb9

2124222137 has 2 divisors, whose sum is σ = 2124222138. Its totient is φ = 2124222136.

The previous prime is 2124222103. The next prime is 2124222167. The reversal of 2124222137 is 7312224212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1222481296 + 901740841 = 34964^2 + 30029^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2124222137 is a prime.

It is not a weakly prime, because it can be changed into another prime (2124222167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1062111068 + 1062111069.

It is an arithmetic number, because the mean of its divisors is an integer number (1062111069).

Almost surely, 22124222137 is an apocalyptic number.

It is an amenable number.

2124222137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2124222137 is an equidigital number, since it uses as much as digits as its factorization.

2124222137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2688, while the sum is 26.

The square root of 2124222137 is about 46089.2844053800. The cubic root of 2124222137 is about 1285.4839052185.

Adding to 2124222137 its reverse (7312224212), we get a palindrome (9436446349).

The spelling of 2124222137 in words is "two billion, one hundred twenty-four million, two hundred twenty-two thousand, one hundred thirty-seven".