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30120311200 = 255276078861
BaseRepresentation
bin11100000011010011…
…110111100110100000
32212202010200100022111
4130003103313212200
5443141244424300
621500450445104
72114260264240
oct340323674640
985663610274
1030120311200
1111857148681
125a07293794
132ac029a865
14165a405b20
15bb44919ba
hex7034f79a0

30120311200 has 144 divisors (see below), whose sum is σ = 84183611904. Its totient is φ = 10308787200.

The previous prime is 30120311167. The next prime is 30120311201. The reversal of 30120311200 is 211302103.

It is not an unprimeable number, because it can be changed into a prime (30120311201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3394770 + ... + 3403630.

It is an arithmetic number, because the mean of its divisors is an integer number (584608416).

Almost surely, 230120311200 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 30120311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42091805952).

30120311200 is an abundant number, since it is smaller than the sum of its proper divisors (54063300704).

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

30120311200 is a wasteful number, since it uses less digits than its factorization.

30120311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9495 (or 9482 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 30120311200 its reverse (211302103), we get a palindrome (30331613303).

The spelling of 30120311200 in words is "thirty billion, one hundred twenty million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 607 700 800 1120 1214 1400 2428 2800 3035 4249 4856 5600 6070 8498 8861 9712 12140 15175 16996 17722 19424 21245 24280 30350 33992 35444 42490 44305 48560 60700 62027 67984 70888 84980 88610 97120 106225 121400 124054 135968 141776 169960 177220 212450 221525 242800 248108 283552 310135 339920 354440 424900 443050 485600 496216 620270 679840 708880 849800 886100 992432 1240540 1417760 1550675 1699600 1772200 1984864 2481080 3101350 3399200 3544400 4962160 5378627 6202700 7088800 9924320 10757254 12405400 21514508 24810800 26893135 37650389 43029016 49621600 53786270 75300778 86058032 107572540 134465675 150601556 172116064 188251945 215145080 268931350 301203112 376503890 430290160 537862700 602406224 753007780 860580320 941259725 1075725400 1204812448 1506015560 1882519450 2151450800 3012031120 3765038900 4302901600 6024062240 7530077800 15060155600 30120311200