Search a number
-
+
124113220 = 22571183971
BaseRepresentation
bin1110110010111…
…01000101000100
322122112121022221
413121131011010
5223233110340
620152102124
73034642060
oct731350504
9278477287
10124113220
1164071110
1235694944
131c93719a
14126aaaa0
15ad6944a
hex765d144

124113220 has 96 divisors (see below), whose sum is σ = 329204736. Its totient is φ = 38179200.

The previous prime is 124113217. The next prime is 124113233. The reversal of 124113220 is 22311421.

It is a junction number, because it is equal to n+sod(n) for n = 124113194 and 124113203.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 127335 + ... + 128305.

It is an arithmetic number, because the mean of its divisors is an integer number (3429216).

Almost surely, 2124113220 is an apocalyptic number.

124113220 is a gapful number since it is divisible by the number (10) 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 124113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164602368).

124113220 is an abundant number, since it is smaller than the sum of its proper divisors (205091516).

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

124113220 is a wasteful number, since it uses less digits than its factorization.

124113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 124113220 is about 11140.6112938205. The cubic root of 124113220 is about 498.8148195811.

Adding to 124113220 its reverse (22311421), we get a palindrome (146424641).

The spelling of 124113220 in words is "one hundred twenty-four million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 83 110 140 154 166 220 308 332 385 415 581 770 830 913 971 1162 1540 1660 1826 1942 2324 2905 3652 3884 4565 4855 5810 6391 6797 9130 9710 10681 11620 12782 13594 18260 19420 21362 25564 27188 31955 33985 42724 53405 63910 67970 74767 80593 106810 127820 135940 149534 161186 213620 299068 322372 373835 402965 564151 747670 805930 886523 1128302 1495340 1611860 1773046 2256604 2820755 3546092 4432615 5641510 6205661 8865230 11283020 12411322 17730460 24822644 31028305 62056610 124113220