Search a number
-
+
22101330032137 is a prime number
BaseRepresentation
bin1010000011001110111011…
…11011001111011000001001
32220020212101200122022222001
411001213131323033120021
510344102010442012022
6115001113313231001
74440524363420116
oct501473573173011
986225350568861
1022101330032137
117051137693834
12258b476862461
13c441b9a792b5
145659d266990d
15284d8dc21b27
hex1419ddecf609

22101330032137 has 2 divisors, whose sum is σ = 22101330032138. Its totient is φ = 22101330032136.

The previous prime is 22101330032081. The next prime is 22101330032141. The reversal of 22101330032137 is 73123003310122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19957627020816 + 2143703011321 = 4467396^2 + 1464139^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22101330032137 is a prime.

It is not a weakly prime, because it can be changed into another prime (22101330092137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050665016068 + 11050665016069.

It is an arithmetic number, because the mean of its divisors is an integer number (11050665016069).

Almost surely, 222101330032137 is an apocalyptic number.

It is an amenable number.

22101330032137 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101330032137 is an equidigital number, since it uses as much as digits as its factorization.

22101330032137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 28.

Adding to 22101330032137 its reverse (73123003310122), we get a palindrome (95224333342259).

The spelling of 22101330032137 in words is "twenty-two trillion, one hundred one billion, three hundred thirty million, thirty-two thousand, one hundred thirty-seven".