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103223124 = 223219229659
BaseRepresentation
bin1100010011100…
…00111101010100
321012020021111200
412021300331110
5202411114444
614124232500
72362245024
oct611607524
9235207450
10103223124
11532a3074
122a69b730
1318501894
14d9cda84
1590de969
hex6270f54

103223124 has 72 divisors (see below), whose sum is σ = 276276000. Its totient is φ = 32405184.

The previous prime is 103223123. The next prime is 103223161. The reversal of 103223124 is 421322301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103223097 and 103223106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103223123) 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 23 ways as a sum of consecutive naturals, for example, 156307 + ... + 156965.

Almost surely, 2103223124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103223124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138138000).

103223124 is an abundant number, since it is smaller than the sum of its proper divisors (173052876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103223124 is a wasteful number, since it uses less digits than its factorization.

103223124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 103223124 is about 10159.8781488756. The cubic root of 103223124 is about 469.0930510661.

Adding to 103223124 its reverse (421322301), we get a palindrome (524545425).

The spelling of 103223124 in words is "one hundred three million, two hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 229 342 458 659 684 687 916 1318 1374 1977 2061 2636 2748 3954 4122 4351 5931 7908 8244 8702 11862 12521 13053 17404 23724 25042 26106 37563 39159 50084 52212 75126 78318 112689 150252 150911 156636 225378 301822 450756 452733 603644 905466 1358199 1810932 2716398 2867309 5432796 5734618 8601927 11469236 17203854 25805781 34407708 51611562 103223124