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30140330200 = 23521721972647
BaseRepresentation
bin11100000100100000…
…001111000011011000
32212210112100102012221
4130010200033003120
5443211411031300
621502443513424
72114622402541
oct340440170330
985715312187
1030140330200
1111867481202
125a11b28874
132ac4489816
14165cd374c8
15bb60e831a
hex70480f0d8

30140330200 has 144 divisors (see below), whose sum is σ = 74847017520. Its totient is φ = 11285084160.

The previous prime is 30140330179. The next prime is 30140330221. The reversal of 30140330200 is 203304103.

It is an interprime number because it is at equal distance from previous prime (30140330179) and next prime (30140330221).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 11385277 + ... + 11387923.

It is an arithmetic number, because the mean of its divisors is an integer number (519770955).

Almost surely, 230140330200 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 30140330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37423508760).

30140330200 is an abundant number, since it is smaller than the sum of its proper divisors (44706687320).

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

30140330200 is a wasteful number, since it uses less digits than its factorization.

30140330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 30140330200 its reverse (203304103), we get a palindrome (30343634303).

The spelling of 30140330200 in words is "thirty billion, one hundred forty million, three hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 197 200 289 340 394 425 578 680 788 850 985 1156 1445 1576 1700 1970 2312 2647 2890 3349 3400 3940 4925 5294 5780 6698 7225 7880 9850 10588 11560 13235 13396 14450 16745 19700 21176 26470 26792 28900 33490 39400 44999 52940 56933 57800 66175 66980 83725 89998 105880 113866 132350 133960 167450 179996 224995 227732 264700 284665 334900 359992 449990 455464 521459 529400 569330 669800 764983 899980 1042918 1124975 1138660 1423325 1529966 1799960 2085836 2249950 2277320 2607295 2846650 3059932 3824915 4171672 4499900 5214590 5693300 6119864 7649830 8864803 8999800 10429180 11386600 13036475 15299660 17729606 19124575 20858360 26072950 30599320 35459212 38249150 44324015 52145900 70918424 76498300 88648030 104291800 150701651 152996600 177296060 221620075 301403302 354592120 443240150 602806604 753508255 886480300 1205613208 1507016510 1772960600 3014033020 3767541275 6028066040 7535082550 15070165100 30140330200