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11214624313001 is a prime number
BaseRepresentation
bin1010001100110001101110…
…1100101100111010101001
31110201002220110011102211002
42203030123230230322221
52432220022311004001
635503532143244345
72235141562556354
oct243143354547251
943632813142732
1011214624313001
1136341060729aa
121311576ba96b5
136346c44b1275
142aab0da0529b
15146ab898346b
hexa331bb2cea9

11214624313001 has 2 divisors, whose sum is σ = 11214624313002. Its totient is φ = 11214624313000.

The previous prime is 11214624312979. The next prime is 11214624313007. The reversal of 11214624313001 is 10031342641211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11164446072976 + 50178240025 = 3341324^2 + 224005^2 .

It is a cyclic number.

It is not a de Polignac number, because 11214624313001 - 26 = 11214624312937 is a prime.

It is not a weakly prime, because it can be changed into another prime (11214624313007) 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, 5607312156500 + 5607312156501.

It is an arithmetic number, because the mean of its divisors is an integer number (5607312156501).

Almost surely, 211214624313001 is an apocalyptic number.

It is an amenable number.

11214624313001 is a deficient number, since it is larger than the sum of its proper divisors (1).

11214624313001 is an equidigital number, since it uses as much as digits as its factorization.

11214624313001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 11214624313001 its reverse (10031342641211), we get a palindrome (21245966954212).

The spelling of 11214624313001 in words is "eleven trillion, two hundred fourteen billion, six hundred twenty-four million, three hundred thirteen thousand, one".