Search a number
-
+
2120340105 = 335134328097
BaseRepresentation
bin111111001100001…
…1101001010001001
312110202210102211000
41332120131022021
513320301340410
6550222125213
7103354410402
oct17630351211
95422712730
102120340105
119989709a4
124b2120809
1327a390020
141618629a9
15c6233dc0
hex7e61d289

2120340105 has 64 divisors (see below), whose sum is σ = 4154008320. Its totient is φ = 1019547648.

The previous prime is 2120340091. The next prime is 2120340109. The reversal of 2120340105 is 5010430212.

It is not a de Polignac number, because 2120340105 - 26 = 2120340041 is a prime.

It is a super-2 number, since 2×21203401052 = 8991684321742822050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2120340109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61417 + ... + 89513.

It is an arithmetic number, because the mean of its divisors is an integer number (64906380).

Almost surely, 22120340105 is an apocalyptic number.

It is an amenable number.

2120340105 is a deficient number, since it is larger than the sum of its proper divisors (2033668215).

2120340105 is a wasteful number, since it uses less digits than its factorization.

2120340105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28167 (or 28161 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2120340105 is about 46047.1508890615. The cubic root of 2120340105 is about 1284.7003505251.

Adding to 2120340105 its reverse (5010430212), we get a palindrome (7130770317).

It can be divided in two parts, 2120 and 340105, that added together give a square (342225 = 5852).

The spelling of 2120340105 in words is "two billion, one hundred twenty million, three hundred forty thousand, one hundred five".

Divisors: 1 3 5 9 13 15 27 39 43 45 65 117 129 135 195 215 351 387 559 585 645 1161 1677 1755 1935 2795 5031 5805 8385 15093 25155 28097 75465 84291 140485 252873 365261 421455 758619 1095783 1208171 1264365 1826305 3287349 3624513 3793095 5478915 6040855 9862047 10873539 15706223 16436745 18122565 32620617 47118669 49310235 54367695 78531115 141356007 163103085 235593345 424068021 706780035 2120340105