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122103 = 3213567
BaseRepresentation
bin11101110011110111
320012111100
4131303313
512401403
62341143
71015662
oct356367
9205440
10122103
1183813
125a7b3
1343767
14326d9
15262a3
hex1dcf7

122103 has 6 divisors (see below), whose sum is σ = 176384. Its totient is φ = 81396.

The previous prime is 122099. The next prime is 122117. The reversal of 122103 is 301221.

It is a happy number.

It is not a de Polignac number, because 122103 - 22 = 122099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 13567 = 122103 / (1 + 2 + 2 + 1 + 0 + 3).

It is a Duffinian number.

122103 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122173) 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 in 5 ways as a sum of consecutive naturals, for example, 6775 + ... + 6792.

2122103 is an apocalyptic number.

122103 is a deficient number, since it is larger than the sum of its proper divisors (54281).

122103 is a wasteful number, since it uses less digits than its factorization.

122103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13573 (or 13570 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 122103 is about 349.4323968953. The cubic root of 122103 is about 49.6107102695.

Adding to 122103 its reverse (301221), we get a palindrome (423324).

It can be divided in two parts, 122 and 103, that added together give a square (225 = 152).

The spelling of 122103 in words is "one hundred twenty-two thousand, one hundred three", and thus it is an iban number.

Divisors: 1 3 9 13567 40701 122103