Search a number
-
+
12131322066052 = 22721710335348087
BaseRepresentation
bin1011000010001000101100…
…1001000111010010000100
31120221202001200201021002121
42300202023021013102010
53042224421422103202
641445015153415324
72361313320112600
oct260421311072204
946852050637077
1012131322066052
113957957052802
12143b16b26a544
1369cc95457007
142dd2328b0500
1516086bd82537
hexb088b247484

12131322066052 has 72 divisors (see below), whose sum is σ = 26402476673664. Its totient is φ = 4845798413568.

The previous prime is 12131322066043. The next prime is 12131322066053. The reversal of 12131322066052 is 25066022313121.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 12131322065999 and 12131322066017.

It is not an unprimeable number, because it can be changed into a prime (12131322066053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17330848 + ... + 18017239.

It is an arithmetic number, because the mean of its divisors is an integer number (366701064912).

Almost surely, 212131322066052 is an apocalyptic number.

It is an amenable number.

12131322066052 is an abundant number, since it is smaller than the sum of its proper divisors (14271154607612).

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

12131322066052 is a wasteful number, since it uses less digits than its factorization.

12131322066052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35348225 (or 35348216 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

Adding to 12131322066052 its reverse (25066022313121), we get a palindrome (37197344379173).

The spelling of 12131322066052 in words is "twelve trillion, one hundred thirty-one billion, three hundred twenty-two million, sixty-six thousand, fifty-two".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 103 119 196 206 238 412 476 721 833 1442 1666 1751 2884 3332 3502 5047 7004 10094 12257 20188 24514 49028 85799 171598 343196 35348087 70696174 141392348 247436609 494873218 600917479 989746436 1201834958 1732056263 2403669916 3464112526 3640852961 4206422353 6928225052 7281705922 8412844706 14563411844 16825689412 25485970727 29444956471 50971941454 58889912942 61894500337 101943882908 117779825884 123789000674 178401795089 247578001348 356803590178 433261502359 713607180356 866523004718 1733046009436 3032830516513 6065661033026 12131322066052