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4223140234013 is a prime number
BaseRepresentation
bin111101011101000110110…
…001100000001100011101
3112221201122220102001220202
4331131012301200030131
51023142442344442023
612552030035353245
7614053231463201
oct75350661401435
915851586361822
104223140234013
111389029624108
12582581152825
1324831826676c
141085887b4b01
1574cc0be0128
hex3d746c6031d

4223140234013 has 2 divisors, whose sum is σ = 4223140234014. Its totient is φ = 4223140234012.

The previous prime is 4223140234007. The next prime is 4223140234021. The reversal of 4223140234013 is 3104320413224.

4223140234013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2831809108804 + 1391331125209 = 1682798^2 + 1179547^2 .

It is a cyclic number.

It is not a de Polignac number, because 4223140234013 - 222 = 4223136039709 is a prime.

It is a super-2 number, since 2×42231402340132 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4223140234513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2111570117006 + 2111570117007.

It is an arithmetic number, because the mean of its divisors is an integer number (2111570117007).

Almost surely, 24223140234013 is an apocalyptic number.

It is an amenable number.

4223140234013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4223140234013 is an equidigital number, since it uses as much as digits as its factorization.

4223140234013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 4223140234013 its reverse (3104320413224), we get a palindrome (7327460647237).

The spelling of 4223140234013 in words is "four trillion, two hundred twenty-three billion, one hundred forty million, two hundred thirty-four thousand, thirteen".