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122213 = 7131779
BaseRepresentation
bin11101110101100101
320012122102
4131311211
512402323
62341445
71016210
oct356545
9205572
10122213
1183903
125a885
1343820
1432777
1526328
hex1dd65

122213 has 16 divisors (see below), whose sum is σ = 161280. Its totient is φ = 89856.

The previous prime is 122209. The next prime is 122219. The reversal of 122213 is 312221.

It is a happy number.

It is not a de Polignac number, because 122213 - 22 = 122209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122194 and 122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1508 + ... + 1586.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2122213 is an apocalyptic number.

122213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122213 is a deficient number, since it is larger than the sum of its proper divisors (39067).

122213 is a wasteful number, since it uses less digits than its factorization.

122213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116.

The product of its digits is 24, while the sum is 11.

The square root of 122213 is about 349.5897595754. The cubic root of 122213 is about 49.6256035432.

Adding to 122213 its reverse (312221), we get a palindrome (434434).

It can be divided in two parts, 12221 and 3, that multiplied together give a palindrome (36663).

The spelling of 122213 in words is "one hundred twenty-two thousand, two hundred thirteen".

Divisors: 1 7 13 17 79 91 119 221 553 1027 1343 1547 7189 9401 17459 122213