Search a number
-
+
12111320132 = 22174120292141
BaseRepresentation
bin10110100011110010…
…00001010001000100
31011021001120210212022
423101321001101010
5144300444221012
65321443342312
7606062344142
oct132171012104
934231523768
1012111320132
11515558508a
122420081998
1311b023ca22
1482c718592
154ad40e472
hex2d1e41444

12111320132 has 48 divisors (see below), whose sum is σ = 23010991920. Its totient is φ = 5555097600.

The previous prime is 12111320131. The next prime is 12111320159. The reversal of 12111320132 is 23102311121.

It can be written as a sum of positive squares in 8 ways, for example, as 2767391236 + 9343928896 = 52606^2 + 96664^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 12111320132.

It is not an unprimeable number, because it can be changed into a prime (12111320131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5655782 + ... + 5657922.

It is an arithmetic number, because the mean of its divisors is an integer number (479395665).

Almost surely, 212111320132 is an apocalyptic number.

It is an amenable number.

12111320132 is a deficient number, since it is larger than the sum of its proper divisors (10899671788).

12111320132 is a wasteful number, since it uses less digits than its factorization.

12111320132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232 (or 4230 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12111320132 its reverse (23102311121), we get a palindrome (35213631253).

The spelling of 12111320132 in words is "twelve billion, one hundred eleven million, three hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 4 17 34 41 68 82 164 697 1394 2029 2141 2788 4058 4282 8116 8564 34493 36397 68986 72794 83189 87781 137972 145588 166378 175562 332756 351124 1414213 1492277 2828426 2984554 4344089 5656852 5969108 8688178 17376356 73849513 147699026 178107649 295398052 356215298 712430596 3027830033 6055660066 12111320132