Search a number
-
+
2001102221917 is a prime number
BaseRepresentation
bin11101000111101010111…
…111001011001001011101
321002022012020212112012001
4131013222333023021131
5230241224132100132
64131143233242301
7264401115144031
oct35075277131135
97068166775161
102001102221917
11701732043497
122839b1103391
1311691aa124a6
146cbd500a1c1
15370beb51ce7
hex1d1eafcb25d

2001102221917 has 2 divisors, whose sum is σ = 2001102221918. Its totient is φ = 2001102221916.

The previous prime is 2001102221843. The next prime is 2001102222059. The reversal of 2001102221917 is 7191222011002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1371196502361 + 629905719556 = 1170981^2 + 793666^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2001102221917 is a prime.

It is a super-2 number, since 2×20011022219172 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001102221617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000551110958 + 1000551110959.

It is an arithmetic number, because the mean of its divisors is an integer number (1000551110959).

Almost surely, 22001102221917 is an apocalyptic number.

It is an amenable number.

2001102221917 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001102221917 is an equidigital number, since it uses as much as digits as its factorization.

2001102221917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 28.

Adding to 2001102221917 its reverse (7191222011002), we get a palindrome (9192324232919).

The spelling of 2001102221917 in words is "two trillion, one billion, one hundred two million, two hundred twenty-one thousand, nine hundred seventeen".