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30313332121000 = 23531931027315289
BaseRepresentation
bin1101110010001110111110…
…11001001001110110101000
310222022221000020100201001111
412321013133121021312220
512433123201010333000
6144245430314000104
76246031425440155
oct671073731116650
9128287006321044
1030313332121000
1197278a2796175
123496b15716034
1313bb6c53a5b46
1476b25cdcd22c
153787bcb40cba
hex1b91df649da8

30313332121000 has 128 divisors (see below), whose sum is σ = 71312331261600. Its totient is φ = 12060544204800.

The previous prime is 30313332120997. The next prime is 30313332121019. The reversal of 30313332121000 is 12123331303.

It can be written as a sum of positive squares in 16 ways, for example, as 5290266803364 + 25023065317636 = 2300058^2 + 5002306^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1982681356 + ... + 1982696644.

Almost surely, 230313332121000 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 30313332121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35656165630800).

30313332121000 is an abundant number, since it is smaller than the sum of its proper divisors (40998999140600).

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

30313332121000 is a wasteful number, since it uses less digits than its factorization.

30313332121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25776 (or 25762 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 30313332121000 its reverse (12123331303), we get a palindrome (30325455452303).

The spelling of 30313332121000 in words is "thirty trillion, three hundred thirteen billion, three hundred thirty-two million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 193 200 250 386 500 772 965 1000 1544 1930 3860 4825 7720 9650 10273 15289 19300 20546 24125 30578 38600 41092 48250 51365 61156 76445 82184 96500 102730 122312 152890 193000 205460 256825 305780 382225 410920 513650 611560 764450 1027300 1284125 1528900 1911125 1982689 2054600 2568250 2950777 3057800 3822250 3965378 5136500 5901554 7644500 7930756 9913445 10273000 11803108 14753885 15289000 15861512 19826890 23606216 29507770 39653780 49567225 59015540 73769425 79307560 99134450 118031080 147538850 157063897 198268900 247836125 295077700 314127794 368847125 396537800 495672250 590155400 628255588 737694250 785319485 991344500 1256511176 1475388500 1570638970 1982689000 2950777000 3141277940 3926597425 6282555880 7853194850 15706389700 19632987125 30313332121 31412779400 39265974250 60626664242 78531948500 121253328484 151566660605 157063897000 242506656968 303133321210 606266642420 757833303025 1212533284840 1515666606050 3031333212100 3789166515125 6062666424200 7578333030250 15156666060500 30313332121000