Search a number
-
+
2143230100 = 2252111012191
BaseRepresentation
bin111111110111111…
…0001100010010100
312112100212100222121
41333233301202110
513342131330400
6552400505324
7104053104154
oct17757614224
95470770877
102143230100
119aa885550
124b991b244
132820459bb
14164900764
15c825621a
hex7fbf1894

2143230100 has 108 divisors (see below), whose sum is σ = 5151170304. Its totient is φ = 767600000.

The previous prime is 2143230073. The next prime is 2143230101. The reversal of 2143230100 is 10323412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143230101) 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 35 ways as a sum of consecutive naturals, for example, 11221005 + ... + 11221195.

Almost surely, 22143230100 is an apocalyptic number.

2143230100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2143230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575585152).

2143230100 is an abundant number, since it is smaller than the sum of its proper divisors (3007940204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2143230100 is a wasteful number, since it uses less digits than its factorization.

2143230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2143230100 is about 46295.0332109180. The cubic root of 2143230100 is about 1289.3067805605.

Adding to 2143230100 its reverse (10323412), we get a palindrome (2153553512).

The spelling of 2143230100 in words is "two billion, one hundred forty-three million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 191 202 220 275 382 404 505 550 764 955 1010 1100 1111 1910 2020 2101 2222 2525 3820 4202 4444 4775 5050 5555 8404 9550 10100 10201 10505 11110 19100 19291 20402 21010 22220 27775 38582 40804 42020 51005 52525 55550 77164 96455 102010 105050 111100 112211 192910 204020 210100 212201 224422 255025 385820 424402 448844 482275 510050 561055 848804 964550 1020100 1061005 1122110 1929100 1948391 2122010 2244220 2805275 3896782 4244020 5305025 5610550 7793564 9741955 10610050 11221100 19483910 21220100 21432301 38967820 42864602 48709775 85729204 97419550 107161505 194839100 214323010 428646020 535807525 1071615050 2143230100