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30242724300 = 22335223348073
BaseRepresentation
bin11100001010100110…
…110101100111001100
32220001200000120112000
4130022212311213030
5443414114134200
621520542312300
72120304625605
oct341246654714
986050016460
1030242724300
111190a258428
125a40288690
132b0c75ac49
14166c78cdac
15bc00c2300
hex70a9b59cc

30242724300 has 144 divisors (see below), whose sum is σ = 97644062880. Its totient is φ = 8029946880.

The previous prime is 30242724287. The next prime is 30242724307. The reversal of 30242724300 is 342724203.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30242724307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 605064 + ... + 653136.

It is an arithmetic number, because the mean of its divisors is an integer number (678083770).

Almost surely, 230242724300 is an apocalyptic number.

30242724300 is a gapful number since it is divisible by the number (30) 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 30242724300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48822031440).

30242724300 is an abundant number, since it is smaller than the sum of its proper divisors (67401338580).

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

30242724300 is a wasteful number, since it uses less digits than its factorization.

30242724300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48329 (or 48316 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The spelling of 30242724300 in words is "thirty billion, two hundred forty-two million, seven hundred twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 233 270 300 450 466 540 675 699 900 932 1165 1350 1398 2097 2330 2700 2796 3495 4194 4660 5825 6291 6990 8388 10485 11650 12582 13980 17475 20970 23300 25164 31455 34950 41940 48073 52425 62910 69900 96146 104850 125820 144219 157275 192292 209700 240365 288438 314550 432657 480730 576876 629100 721095 865314 961460 1201825 1297971 1442190 1730628 2163285 2403650 2595942 2884380 3605475 4326570 4807300 5191884 6489855 7210950 8653140 10816425 11201009 12979710 14421900 21632850 22402018 25959420 32449275 33603027 43265700 44804036 56005045 64898550 67206054 100809081 112010090 129797100 134412108 168015135 201618162 224020180 280025225 302427243 336030270 403236324 504045405 560050450 604854486 672060540 840075675 1008090810 1120100900 1209708972 1512136215 1680151350 2016181620 2520227025 3024272430 3360302700 5040454050 6048544860 7560681075 10080908100 15121362150 30242724300