Search a number
-
+
100001122112237 is a prime number
BaseRepresentation
bin10110101111001101010011…
…010111000101001011101101
3111010002000101010202201220012
4112233031103113011023231
5101101404244230042422
6552403514205303005
730030562013012423
oct2657152327051355
9433060333681805
10100001122112237
1129955268454765
12b270a79564a65
1343a50b0769598
141a9a119c69113
15b863d30724e2
hex5af3535c52ed

100001122112237 has 2 divisors, whose sum is σ = 100001122112238. Its totient is φ = 100001122112236.

The previous prime is 100001122112207. The next prime is 100001122112279. The reversal of 100001122112237 is 732211221100001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69236195247241 + 30764926864996 = 8320829^2 + 5546614^2 .

It is an emirp because it is prime and its reverse (732211221100001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100001122112237 - 26 = 100001122112173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001122112207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000561056118 + 50000561056119.

It is an arithmetic number, because the mean of its divisors is an integer number (50000561056119).

Almost surely, 2100001122112237 is an apocalyptic number.

It is an amenable number.

100001122112237 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001122112237 is an equidigital number, since it uses as much as digits as its factorization.

100001122112237 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100001122112237 its reverse (732211221100001), we get a palindrome (832212343212238).

The spelling of 100001122112237 in words is "one hundred trillion, one billion, one hundred twenty-two million, one hundred twelve thousand, two hundred thirty-seven".