Search a number
-
+
12130311105 = 3251122227789
BaseRepresentation
bin10110100110000010…
…11101101111000001
31011022101022122120200
423103001131233001
5144320324423410
65323402355413
7606412641333
oct132301355701
934271278520
1012130311105
115165276300
1224264bbb69
1311b415baa3
1483105d453
154aee113c0
hex2d305dbc1

12130311105 has 36 divisors (see below), whose sum is σ = 23111093460. Its totient is φ = 5881360320.

The previous prime is 12130311103. The next prime is 12130311107. The reversal of 12130311105 is 50111303121.

12130311105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12130311103) and next prime (12130311107).

It can be written as a sum of positive squares in 2 ways, for example, as 1685266704 + 10445044401 = 41052^2 + 102201^2 .

It is not a de Polignac number, because 12130311105 - 21 = 12130311103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12130311101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1108450 + ... + 1119339.

Almost surely, 212130311105 is an apocalyptic number.

12130311105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12130311105 is a deficient number, since it is larger than the sum of its proper divisors (10980782355).

12130311105 is a wasteful number, since it uses less digits than its factorization.

12130311105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227822 (or 2227808 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 12130311105 its reverse (50111303121), we get a palindrome (62241614226).

The spelling of 12130311105 in words is "twelve billion, one hundred thirty million, three hundred eleven thousand, one hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 165 363 495 605 1089 1815 5445 2227789 6683367 11138945 20050101 24505679 33416835 73517037 100250505 122528395 220551111 269562469 367585185 808687407 1102755555 1347812345 2426062221 4043437035 12130311105