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124220124 = 22327835939
BaseRepresentation
bin1110110011101…
…11001011011100
322122202000222100
413121313023130
5223300020444
620154245100
73035565540
oct731671334
9278660870
10124220124
1164134466
1235726790
131c973a42
14126d7a20
15ad8ae69
hex76772dc

124220124 has 72 divisors (see below), whose sum is σ = 363242880. Its totient is φ = 35057952.

The previous prime is 124220113. The next prime is 124220177. The reversal of 124220124 is 421022421.

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 = 124220097 and 124220106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17947 + ... + 23885.

It is an arithmetic number, because the mean of its divisors is an integer number (5045040).

Almost surely, 2124220124 is an apocalyptic number.

124220124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124220124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440).

124220124 is an abundant number, since it is smaller than the sum of its proper divisors (239022756).

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

124220124 is a wasteful number, since it uses less digits than its factorization.

124220124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6039 (or 6034 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 124220124 is about 11145.4082024841. The cubic root of 124220124 is about 498.9579952942.

Adding to 124220124 its reverse (421022421), we get a palindrome (545242545).

The spelling of 124220124 in words is "one hundred twenty-four million, two hundred twenty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 83 84 126 166 249 252 332 498 581 747 996 1162 1494 1743 2324 2988 3486 5229 5939 6972 10458 11878 17817 20916 23756 35634 41573 53451 71268 83146 106902 124719 166292 213804 249438 374157 492937 498876 748314 985874 1478811 1496628 1971748 2957622 3450559 4436433 5915244 6901118 8872866 10351677 13802236 17745732 20703354 31055031 41406708 62110062 124220124