Search a number
-
+
132102013 is a prime number
BaseRepresentation
bin1111101111110…
…11011101111101
3100012120110220011
413313323131331
5232304231023
621035223221
73162564031
oct767733575
9305513804
10132102013
116862821a
12382a7b11
13214a3494
141378a1c1
15b8e650d
hex7dfb77d

132102013 has 2 divisors, whose sum is σ = 132102014. Its totient is φ = 132102012.

The previous prime is 132102011. The next prime is 132102029. The reversal of 132102013 is 310201231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124500964 + 7601049 = 11158^2 + 2757^2 .

It is a cyclic number.

It is not a de Polignac number, because 132102013 - 21 = 132102011 is a prime.

Together with 132102011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 132101984 and 132102002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132102011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66051006 + 66051007.

It is an arithmetic number, because the mean of its divisors is an integer number (66051007).

Almost surely, 2132102013 is an apocalyptic number.

It is an amenable number.

132102013 is a deficient number, since it is larger than the sum of its proper divisors (1).

132102013 is an equidigital number, since it uses as much as digits as its factorization.

132102013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 132102013 is about 11493.5639816377. The cubic root of 132102013 is about 509.2954682960.

Adding to 132102013 its reverse (310201231), we get a palindrome (442303244).

The spelling of 132102013 in words is "one hundred thirty-two million, one hundred two thousand, thirteen".