Search a number
-
+
11101002100217 is a prime number
BaseRepresentation
bin1010000110001010011101…
…0010010110110111111001
31110022020121220220222121222
42201202213102112313321
52423334323014201332
635335421401041425
72224010115650651
oct241424722266771
943266556828558
1011101002100217
11359a9aa312807
1212b3547186275
13626a877278b3
142a541172d361
15143b6888c712
hexa18a7496df9

11101002100217 has 2 divisors, whose sum is σ = 11101002100218. Its totient is φ = 11101002100216.

The previous prime is 11101002100213. The next prime is 11101002100229. The reversal of 11101002100217 is 71200120010111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6461031924736 + 4639970175481 = 2541856^2 + 2154059^2 .

It is a cyclic number.

It is not a de Polignac number, because 11101002100217 - 22 = 11101002100213 is a prime.

It is a super-2 number, since 2×111010021002172 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11101002100195 and 11101002100204.

It is not a weakly prime, because it can be changed into another prime (11101002100211) 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, 5550501050108 + 5550501050109.

It is an arithmetic number, because the mean of its divisors is an integer number (5550501050109).

Almost surely, 211101002100217 is an apocalyptic number.

It is an amenable number.

11101002100217 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101002100217 is an equidigital number, since it uses as much as digits as its factorization.

11101002100217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 11101002100217 its reverse (71200120010111), we get a palindrome (82301122110328).

The spelling of 11101002100217 in words is "eleven trillion, one hundred one billion, two million, one hundred thousand, two hundred seventeen".