Search a number
-
+
2100011212111 is a prime number
BaseRepresentation
bin11110100011110010011…
…011000001110101001111
321102202111101120211100011
4132203302123001311033
5233401310332241421
64244422024214051
7304502143531651
oct36436233016517
97382441524304
102100011212111
1173a67864479a
1229abb560a327
1312305149b2a7
14738d91cc6d1
153995d1ce4e1
hex1e8f26c1d4f

2100011212111 has 2 divisors, whose sum is σ = 2100011212112. Its totient is φ = 2100011212110.

The previous prime is 2100011212073. The next prime is 2100011212181. The reversal of 2100011212111 is 1112121100012.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2100011212111 - 27 = 2100011211983 is a prime.

It is a super-2 number, since 2×21000112121112 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2100011212091 and 2100011212100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100011212181) 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, 1050005606055 + 1050005606056.

It is an arithmetic number, because the mean of its divisors is an integer number (1050005606056).

Almost surely, 22100011212111 is an apocalyptic number.

2100011212111 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100011212111 is an equidigital number, since it uses as much as digits as its factorization.

2100011212111 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 13.

Adding to 2100011212111 its reverse (1112121100012), we get a palindrome (3212132312123).

The spelling of 2100011212111 in words is "two trillion, one hundred billion, eleven million, two hundred twelve thousand, one hundred eleven".