Search a number
-
+
12132129973 is a prime number
BaseRepresentation
bin10110100110010000…
…11001110010110101
31011022111202001121011
423103020121302311
5144321311124343
65323505352221
7606434255215
oct132310316265
934274661534
1012132129973
1151662a88a7
122427038671
1311b4647942
148313b4245
154b017029d
hex2d3219cb5

12132129973 has 2 divisors, whose sum is σ = 12132129974. Its totient is φ = 12132129972.

The previous prime is 12132129967. The next prime is 12132130001. The reversal of 12132129973 is 37992123121.

12132129973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9668198929 + 2463931044 = 98327^2 + 49638^2 .

It is a cyclic number.

It is not a de Polignac number, because 12132129973 - 229 = 11595259061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12132129673) 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 as a sum of consecutive naturals, namely, 6066064986 + 6066064987.

It is an arithmetic number, because the mean of its divisors is an integer number (6066064987).

Almost surely, 212132129973 is an apocalyptic number.

It is an amenable number.

12132129973 is a deficient number, since it is larger than the sum of its proper divisors (1).

12132129973 is an equidigital number, since it uses as much as digits as its factorization.

12132129973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40824, while the sum is 40.

The spelling of 12132129973 in words is "twelve billion, one hundred thirty-two million, one hundred twenty-nine thousand, nine hundred seventy-three".