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311214030442001 is a prime number
BaseRepresentation
bin100011011000011000010100…
…1101110111100111000010001
31111210220202210212122020210222
41012300300221232330320101
5311242412313243121001
63021521430223002425
7122360320536465221
oct10660605156747021
91453822725566728
10311214030442001
1190187146940345
122aaa3445139415
131048648485510b
1456bcba760c081
1525ea5d00d561b
hex11b0c29bbce11

311214030442001 has 2 divisors, whose sum is σ = 311214030442002. Its totient is φ = 311214030442000.

The previous prime is 311214030441991. The next prime is 311214030442087. The reversal of 311214030442001 is 100244030412113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 245926660838401 + 65287369603600 = 15682049^2 + 8080060^2 .

It is a cyclic number.

It is not a de Polignac number, because 311214030442001 - 226 = 311213963333137 is a prime.

It is not a weakly prime, because it can be changed into another prime (311214030042001) 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, 155607015221000 + 155607015221001.

It is an arithmetic number, because the mean of its divisors is an integer number (155607015221001).

Almost surely, 2311214030442001 is an apocalyptic number.

It is an amenable number.

311214030442001 is a deficient number, since it is larger than the sum of its proper divisors (1).

311214030442001 is an equidigital number, since it uses as much as digits as its factorization.

311214030442001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 311214030442001 its reverse (100244030412113), we get a palindrome (411458060854114).

The spelling of 311214030442001 in words is "three hundred eleven trillion, two hundred fourteen billion, thirty million, four hundred forty-two thousand, one".