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2240541220013 is a prime number
BaseRepresentation
bin100000100110101010101…
…010011101110010101101
321221012020011120220020122
4200212222222131302231
5243202112023020023
64433142422054325
7320605462065545
oct40465252356255
97835204526218
102240541220013
11794232120698
1230229487a3a5
13133388ac0b15
147a62ad84325
153d4356e52c8
hex209aaa9dcad

2240541220013 has 2 divisors, whose sum is σ = 2240541220014. Its totient is φ = 2240541220012.

The previous prime is 2240541220007. The next prime is 2240541220039. The reversal of 2240541220013 is 3100221450422.

2240541220013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (2240541220039) can be obtained adding 2240541220013 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1653788284009 + 586752936004 = 1285997^2 + 765998^2 .

It is a cyclic number.

It is not a de Polignac number, because 2240541220013 - 28 = 2240541219757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2240541220213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1120270610006 + 1120270610007.

It is an arithmetic number, because the mean of its divisors is an integer number (1120270610007).

Almost surely, 22240541220013 is an apocalyptic number.

It is an amenable number.

2240541220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2240541220013 is an equidigital number, since it uses as much as digits as its factorization.

2240541220013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 2240541220013 its reverse (3100221450422), we get a palindrome (5340762670435).

The spelling of 2240541220013 in words is "two trillion, two hundred forty billion, five hundred forty-one million, two hundred twenty thousand, thirteen".