Search a number
-
+
3011123202221 is a prime number
BaseRepresentation
bin101011110100010100111…
…011011100100010101101
3101122212020100112111100202
4223310110323130202231
5343313240014432341
610223142500203245
7430355303626061
oct53642473344255
911585210474322
103011123202221
11a61012603192
124076ab099525
1318ac42132b74
14a5a4c2b7aa1
15534d601c79b
hex2bd14edc8ad

3011123202221 has 2 divisors, whose sum is σ = 3011123202222. Its totient is φ = 3011123202220.

The previous prime is 3011123202137. The next prime is 3011123202223. The reversal of 3011123202221 is 1222023211103.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1756656001321 + 1254467200900 = 1325389^2 + 1120030^2 .

It is a cyclic number.

It is not a de Polignac number, because 3011123202221 - 222 = 3011119007917 is a prime.

Together with 3011123202223, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 3011123202193 and 3011123202202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3011123202223) 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, 1505561601110 + 1505561601111.

It is an arithmetic number, because the mean of its divisors is an integer number (1505561601111).

Almost surely, 23011123202221 is an apocalyptic number.

It is an amenable number.

3011123202221 is a deficient number, since it is larger than the sum of its proper divisors (1).

3011123202221 is an equidigital number, since it uses as much as digits as its factorization.

3011123202221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 3011123202221 its reverse (1222023211103), we get a palindrome (4233146413324).

The spelling of 3011123202221 in words is "three trillion, eleven billion, one hundred twenty-three million, two hundred two thousand, two hundred twenty-one".