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2210040013 is a prime number
BaseRepresentation
bin1000001110111010…
…1000100011001101
312201000120122221211
42003232220203031
514011232240023
61003144454421
7105524013226
oct20356504315
95630518854
102210040013
11a34567855
1251817a411
13292b384ac
1416d73224d
15ce051a0d
hex83ba88cd

2210040013 has 2 divisors, whose sum is σ = 2210040014. Its totient is φ = 2210040012.

The previous prime is 2210039999. The next prime is 2210040017. The reversal of 2210040013 is 3100400122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2110299844 + 99740169 = 45938^2 + 9987^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210040013 - 25 = 2210039981 is a prime.

It is a super-2 number, since 2×22100400132 = 9768553718122080338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2210039975 and 2210040002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2210040017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105020006 + 1105020007.

It is an arithmetic number, because the mean of its divisors is an integer number (1105020007).

Almost surely, 22210040013 is an apocalyptic number.

It is an amenable number.

2210040013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210040013 is an equidigital number, since it uses as much as digits as its factorization.

2210040013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2210040013 is about 47011.0626661427. The cubic root of 2210040013 is about 1302.5669228057.

Adding to 2210040013 its reverse (3100400122), we get a palindrome (5310440135).

The spelling of 2210040013 in words is "two billion, two hundred ten million, forty thousand, thirteen".