Search a number
-
+
4202234404013 is a prime number
BaseRepresentation
bin111101001001101000101…
…100000101110010101101
3112212201200221101212111202
4331021220230011302231
51022322134001412023
612534251351055245
7612413200036412
oct75115054056255
915781627355452
104202234404013
111380180850658
1257a507971525
13246366003959
14107564096109
157449a695128
hex3d268b05cad

4202234404013 has 2 divisors, whose sum is σ = 4202234404014. Its totient is φ = 4202234404012.

The previous prime is 4202234403967. The next prime is 4202234404097. The reversal of 4202234404013 is 3104044322024.

4202234404013 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., 4202184305929 + 50098084 = 2049923^2 + 7078^2 .

It is a cyclic number.

It is not a de Polignac number, because 4202234404013 - 224 = 4202217626797 is a prime.

It is a super-3 number, since 3×42022344040133 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4202234404813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2101117202006 + 2101117202007.

It is an arithmetic number, because the mean of its divisors is an integer number (2101117202007).

Almost surely, 24202234404013 is an apocalyptic number.

It is an amenable number.

4202234404013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4202234404013 is an equidigital number, since it uses as much as digits as its factorization.

4202234404013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 4202234404013 its reverse (3104044322024), we get a palindrome (7306278726037).

The spelling of 4202234404013 in words is "four trillion, two hundred two billion, two hundred thirty-four million, four hundred four thousand, thirteen".