Search a number
-
+
132123113 is a prime number
BaseRepresentation
bin1111110000000…
…00100111101001
3100012121112211122
413320000213221
5232310414423
621035505025
73163012403
oct770004751
9305545748
10132123113
1168642061
12382b8175
13214acc75
1413793b73
15b8ec8c8
hex7e009e9

132123113 has 2 divisors, whose sum is σ = 132123114. Its totient is φ = 132123112.

The previous prime is 132123091. The next prime is 132123143. The reversal of 132123113 is 311321231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69839449 + 62283664 = 8357^2 + 7892^2 .

It is a cyclic number.

It is not a de Polignac number, because 132123113 - 28 = 132122857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132123091 and 132123100.

It is not a weakly prime, because it can be changed into another prime (132123143) 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 as a sum of consecutive naturals, namely, 66061556 + 66061557.

It is an arithmetic number, because the mean of its divisors is an integer number (66061557).

Almost surely, 2132123113 is an apocalyptic number.

It is an amenable number.

132123113 is a deficient number, since it is larger than the sum of its proper divisors (1).

132123113 is an equidigital number, since it uses as much as digits as its factorization.

132123113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108, while the sum is 17.

The square root of 132123113 is about 11494.4818500009. The cubic root of 132123113 is about 509.3225825997.

Adding to 132123113 its reverse (311321231), we get a palindrome (443444344).

The spelling of 132123113 in words is "one hundred thirty-two million, one hundred twenty-three thousand, one hundred thirteen".