Search a number
-
+
2100002201111 is a prime number
BaseRepresentation
bin11110100011110001111…
…000101001111000010111
321102202110202122000120102
4132203301320221320113
5233401301030413421
64244421103124315
7304502004121553
oct36436170517027
97382422560512
102100002201111
1173a67354a691
1229abb25a369b
1312304c664939
14738d7d24863
153995c4ee60b
hex1e8f1e29e17

2100002201111 has 2 divisors, whose sum is σ = 2100002201112. Its totient is φ = 2100002201110.

The previous prime is 2100002201071. The next prime is 2100002201117. The reversal of 2100002201111 is 1111022000012.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2100002201111 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100002201092 and 2100002201101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100002201117) 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, 1050001100555 + 1050001100556.

It is an arithmetic number, because the mean of its divisors is an integer number (1050001100556).

Almost surely, 22100002201111 is an apocalyptic number.

2100002201111 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100002201111 is an equidigital number, since it uses as much as digits as its factorization.

2100002201111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2100002201111 its reverse (1111022000012), we get a palindrome (3211024201123).

The spelling of 2100002201111 in words is "two trillion, one hundred billion, two million, two hundred one thousand, one hundred eleven".