Search a number
-
+
122149 is a prime number
BaseRepresentation
bin11101110100100101
320012120001
4131310211
512402044
62341301
71016056
oct356445
9205501
10122149
1183855
125a831
13437a1
143272d
15262d4
hex1dd25

122149 has 2 divisors, whose sum is σ = 122150. Its totient is φ = 122148.

The previous prime is 122147. The next prime is 122167. The reversal of 122149 is 941221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101124 + 21025 = 318^2 + 145^2 .

It is an emirp because it is prime and its reverse (941221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122149 - 21 = 122147 is a prime.

Together with 122147, it forms a pair of twin primes.

122149 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61074 + 61075.

It is an arithmetic number, because the mean of its divisors is an integer number (61075).

2122149 is an apocalyptic number.

It is an amenable number.

122149 is a deficient number, since it is larger than the sum of its proper divisors (1).

122149 is an equidigital number, since it uses as much as digits as its factorization.

122149 is an evil number, because the sum of its binary digits is even.

The product of its digits is 144, while the sum is 19.

The square root of 122149 is about 349.4982117265. The cubic root of 122149 is about 49.6169394535.

The spelling of 122149 in words is "one hundred twenty-two thousand, one hundred forty-nine".