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2189220013 is a prime number
BaseRepresentation
bin1000001001111100…
…1101100010101101
312122120101220021201
42002133031202231
513440420020023
61001122325501
7105152030431
oct20237154255
95576356251
102189220013
11a23837442
125111b9891
1328b728a76
1416aa729c1
15cc2dcbad
hex827cd8ad

2189220013 has 2 divisors, whose sum is σ = 2189220014. Its totient is φ = 2189220012.

The previous prime is 2189219951. The next prime is 2189220041. The reversal of 2189220013 is 3100229812.

2189220013 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 (2189220041) can be obtained adding 2189220013 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1389574729 + 799645284 = 37277^2 + 28278^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2189220013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2189220053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1094610006 + 1094610007.

It is an arithmetic number, because the mean of its divisors is an integer number (1094610007).

Almost surely, 22189220013 is an apocalyptic number.

It is an amenable number.

2189220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2189220013 is an equidigital number, since it uses as much as digits as its factorization.

2189220013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 2189220013 is about 46789.1014339878. The cubic root of 2189220013 is about 1298.4636708932.

Adding to 2189220013 its reverse (3100229812), we get a palindrome (5289449825).

It can be divided in two parts, 21892 and 20013, that added together give a triangular number (41905 = T289).

The spelling of 2189220013 in words is "two billion, one hundred eighty-nine million, two hundred twenty thousand, thirteen".