Search a number
-
+
100222021212217 is a prime number
BaseRepresentation
bin10110110010011011000001…
…111110010001100000111001
3111010212010112222101200221121
4112302123001332101200321
5101114014144412242332
6553053205543505241
730052542054253162
oct2662330176214071
9433763488350847
10100222021212217
1129a2aa14212013
12b2a7848158221
1343bcb858031b8
141aa6ab37d6769
15b8c011162797
hex5b26c1f91839

100222021212217 has 2 divisors, whose sum is σ = 100222021212218. Its totient is φ = 100222021212216.

The previous prime is 100222021212199. The next prime is 100222021212251. The reversal of 100222021212217 is 712212120222001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55099310797881 + 45122710414336 = 7422891^2 + 6717344^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100222021212217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100222021212191 and 100222021212200.

It is not a weakly prime, because it can be changed into another prime (100222021212277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111010606108 + 50111010606109.

It is an arithmetic number, because the mean of its divisors is an integer number (50111010606109).

Almost surely, 2100222021212217 is an apocalyptic number.

It is an amenable number.

100222021212217 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222021212217 is an equidigital number, since it uses as much as digits as its factorization.

100222021212217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 896, while the sum is 25.

Adding to 100222021212217 its reverse (712212120222001), we get a palindrome (812434141434218).

The spelling of 100222021212217 in words is "one hundred trillion, two hundred twenty-two billion, twenty-one million, two hundred twelve thousand, two hundred seventeen".