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311001221101 is a prime number
BaseRepresentation
bin1001000011010010001…
…11100000011111101101
31002201202012122222000111
410201221013200133231
520043412303033401
6354512203300021
731316620522264
oct4415107403755
91081665588014
10311001221101
1110a99309956a
125033581a611
1323434092cac
14110a424d5db
1581533dee51
hex48691e07ed

311001221101 has 2 divisors, whose sum is σ = 311001221102. Its totient is φ = 311001221100.

The previous prime is 311001221081. The next prime is 311001221147. The reversal of 311001221101 is 101122100113.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 294295400100 + 16705821001 = 542490^2 + 129251^2 .

It is an emirp because it is prime and its reverse (101122100113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 311001221101 - 221 = 310999123949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311001221191) 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, 155500610550 + 155500610551.

It is an arithmetic number, because the mean of its divisors is an integer number (155500610551).

Almost surely, 2311001221101 is an apocalyptic number.

It is an amenable number.

311001221101 is a deficient number, since it is larger than the sum of its proper divisors (1).

311001221101 is an equidigital number, since it uses as much as digits as its factorization.

311001221101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 311001221101 its reverse (101122100113), we get a palindrome (412123321214).

The spelling of 311001221101 in words is "three hundred eleven billion, one million, two hundred twenty-one thousand, one hundred one".