Search a number
-
+
12141310131 = 33617371773
BaseRepresentation
bin10110100111010110…
…11011000010110011
31011100011000110102000
423103223123002303
5144331133411011
65324434225043
7606605301426
oct132353330263
934304013360
1012141310131
1151704a9005
12242a125183
1311b65102a2
148326c39bd
154b0d85356
hex2d3adb0b3

12141310131 has 16 divisors (see below), whose sum is σ = 18281999520. Its totient is φ = 7961513760.

The previous prime is 12141310123. The next prime is 12141310133. The reversal of 12141310131 is 13101314121.

It is a happy number.

12141310131 is a `hidden beast` number, since 121 + 413 + 1 + 0 + 131 = 666.

It is not a de Polignac number, because 12141310131 - 23 = 12141310123 is a prime.

It is a super-2 number, since 2×121413101312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12141310133) 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 15 ways as a sum of consecutive naturals, for example, 3684240 + ... + 3687533.

It is an arithmetic number, because the mean of its divisors is an integer number (1142624970).

Almost surely, 212141310131 is an apocalyptic number.

12141310131 is a deficient number, since it is larger than the sum of its proper divisors (6140689389).

12141310131 is an equidigital number, since it uses as much as digits as its factorization.

12141310131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7371843 (or 7371837 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12141310131 its reverse (13101314121), we get a palindrome (25242624252).

The spelling of 12141310131 in words is "twelve billion, one hundred forty-one million, three hundred ten thousand, one hundred thirty-one".

Divisors: 1 3 9 27 61 183 549 1647 7371773 22115319 66345957 199037871 449678153 1349034459 4047103377 12141310131