Search a number
-
+
2211331104977 is a prime number
BaseRepresentation
bin100000001011011101100…
…110101110000011010001
321211101211110121022100012
4200023131212232003101
5242212301230324402
64411512124004305
7315522563154401
oct40133546560321
97741743538305
102211331104977
11782902839955
122b86a2390695
131306b2279897
14790597d0801
153c7c60e6452
hex202dd9ae0d1

2211331104977 has 2 divisors, whose sum is σ = 2211331104978. Its totient is φ = 2211331104976.

The previous prime is 2211331104953. The next prime is 2211331104979. The reversal of 2211331104977 is 7794011331122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2198461563841 + 12869541136 = 1482721^2 + 113444^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211331104977 - 226 = 2211263996113 is a prime.

Together with 2211331104979, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2211331104979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105665552488 + 1105665552489.

It is an arithmetic number, because the mean of its divisors is an integer number (1105665552489).

Almost surely, 22211331104977 is an apocalyptic number.

It is an amenable number.

2211331104977 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211331104977 is an equidigital number, since it uses as much as digits as its factorization.

2211331104977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63504, while the sum is 41.

The spelling of 2211331104977 in words is "two trillion, two hundred eleven billion, three hundred thirty-one million, one hundred four thousand, nine hundred seventy-seven".