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124123114200030 = 235114496977120067
BaseRepresentation
bin11100001110001110101010…
…001000010101101111011110
3121021111001110020120002200220
4130032032222020111233132
5112232113114213400110
61115553212123302210
735100412323502131
oct3416165210255736
9537431406502626
10124123114200030
11366053540a0530
1211b07a8397a966
1354349b4669c7a
14229183b168218
15e53ad8bb7370
hex70e3aa215bde

124123114200030 has 128 divisors (see below), whose sum is σ = 325750055155200. Its totient is φ = 30018882109440.

The previous prime is 124123114199983. The next prime is 124123114200083. The reversal of 124123114200030 is 30002411321421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1033722057 + ... + 1033842123.

It is an arithmetic number, because the mean of its divisors is an integer number (2544922305900).

Almost surely, 2124123114200030 is an apocalyptic number.

124123114200030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 124123114200030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162875027577600).

124123114200030 is an abundant number, since it is smaller than the sum of its proper divisors (201626940955170).

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

124123114200030 is a wasteful number, since it uses less digits than its factorization.

124123114200030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127514.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 124123114200030 its reverse (30002411321421), we get a palindrome (154125525521451).

The spelling of 124123114200030 in words is "one hundred twenty-four trillion, one hundred twenty-three billion, one hundred fourteen million, two hundred thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 449 898 1347 2245 2694 4490 4939 6735 6977 9878 13470 13954 14817 20931 24695 29634 34885 41862 49390 69770 74085 76747 104655 120067 148170 153494 209310 230241 240134 360201 383735 460482 600335 720402 767470 1151205 1200670 1320737 1801005 2302410 2641474 3132673 3602010 3962211 6265346 6603685 7924422 9398019 13207370 15663365 18796038 19811055 31326730 34459403 39622110 46990095 53910083 68918806 93980190 103378209 107820166 161730249 172297015 206756418 269550415 323460498 344594030 516891045 539100830 593010913 808651245 837707459 1033782090 1186021826 1617302490 1675414918 1779032739 2513122377 2965054565 3558065478 4188537295 5026244754 5930109130 8377074590 8895163695 9214782049 12565611885 17790327390 18429564098 25131223770 27644346147 46073910245 55288692294 92147820490 138221730735 276443461470 376130649091 752261298182 1128391947273 1880653245455 2256783894546 3761306490910 4137437140001 5641959736365 8274874280002 11283919472730 12412311420003 20687185700005 24824622840006 41374371400010 62061557100015 124123114200030