Search a number
-
+
2123213103 = 321173893301
BaseRepresentation
bin111111010001101…
…1010100100101111
312110222012101211100
41332203122210233
513322020304403
6550403454143
7103421004444
oct17643324457
95428171740
102123213103
1199a553480
124b3087353
1327ab5791b
14161dad9cb
15c66002a3
hex7e8da92f

2123213103 has 48 divisors (see below), whose sum is σ = 3430645920. Its totient is φ = 1254528000.

The previous prime is 2123213101. The next prime is 2123213111. The reversal of 2123213103 is 3013123212.

It is not a de Polignac number, because 2123213103 - 21 = 2123213101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123213101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 641553 + ... + 644853.

It is an arithmetic number, because the mean of its divisors is an integer number (71471790).

Almost surely, 22123213103 is an apocalyptic number.

2123213103 is a deficient number, since it is larger than the sum of its proper divisors (1307432817).

2123213103 is a wasteful number, since it uses less digits than its factorization.

2123213103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2123213103 is about 46078.3365910706. The cubic root of 2123213103 is about 1285.2803322843.

Adding to 2123213103 its reverse (3013123212), we get a palindrome (5136336315).

It can be divided in two parts, 21 and 23213103, that added together give a square (23213124 = 48182).

The spelling of 2123213103 in words is "two billion, one hundred twenty-three million, two hundred thirteen thousand, one hundred three".

Divisors: 1 3 9 11 33 73 89 99 219 267 657 801 803 979 2409 2937 3301 6497 7227 8811 9903 19491 29709 36311 58473 71467 108933 214401 240973 293789 326799 643203 722919 881367 2168757 2644101 2650703 3231679 7952109 9695037 21446597 23856327 29085111 64339791 193019373 235912567 707737701 2123213103