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2242402013 is a prime number
BaseRepresentation
bin1000010110101000…
…0101011011011101
312210021110211021102
42011222011123131
514043023331023
61010302242445
7106366050125
oct20552053335
95707424242
102242402013
11a50860905
12526b86425
132997595c7
14173b57c85
15d1ce5628
hex85a856dd

2242402013 has 2 divisors, whose sum is σ = 2242402014. Its totient is φ = 2242402012.

The previous prime is 2242401991. The next prime is 2242402037. The reversal of 2242402013 is 3102042422.

2242402013 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., 1495910329 + 746491684 = 38677^2 + 27322^2 .

It is a cyclic number.

It is not a de Polignac number, because 2242402013 - 210 = 2242400989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2242402213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1121201006 + 1121201007.

It is an arithmetic number, because the mean of its divisors is an integer number (1121201007).

Almost surely, 22242402013 is an apocalyptic number.

It is an amenable number.

2242402013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2242402013 is an equidigital number, since it uses as much as digits as its factorization.

2242402013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2242402013 is about 47354.0073594622. The cubic root of 2242402013 is about 1308.8940441347.

Adding to 2242402013 its reverse (3102042422), we get a palindrome (5344444435).

The spelling of 2242402013 in words is "two billion, two hundred forty-two million, four hundred two thousand, thirteen".