Search a number
-
+
122131 is a prime number
BaseRepresentation
bin11101110100010011
320012112101
4131310103
512402011
62341231
71016032
oct356423
9205471
10122131
1183839
125a817
1343789
1432719
15262c1
hex1dd13

122131 has 2 divisors, whose sum is σ = 122132. Its totient is φ = 122130.

The previous prime is 122117. The next prime is 122147. The reversal of 122131 is 131221.

Adding to 122131 its reverse (131221), we get a palindrome (253352).

It can be divided in two parts, 122 and 131, that added together give a triangular number (253 = T22).

It is a weak prime.

It is an emirp because it is prime and its reverse (131221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122131 - 25 = 122099 is a prime.

It is a super-2 number, since 2×1221312 = 29831962322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61065 + 61066.

It is an arithmetic number, because the mean of its divisors is an integer number (61066).

2122131 is an apocalyptic number.

122131 is a deficient number, since it is larger than the sum of its proper divisors (1).

122131 is an equidigital number, since it uses as much as digits as its factorization.

122131 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12, while the sum is 10.

The square root of 122131 is about 349.4724595730. The cubic root of 122131 is about 49.6145021330.

The spelling of 122131 in words is "one hundred twenty-two thousand, one hundred thirty-one".