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30120313300 = 225271121118539
BaseRepresentation
bin11100000011010011…
…111000000111010100
32212202010200110012021
4130003103320013110
5443141300011200
621500450502524
72114260303330
oct340323700724
985663613167
1030120313300
111185714a210
125a07294a44
132ac029b7bc
14165a4067c0
15bb449241a
hex7034f81d4

30120313300 has 144 divisors (see below), whose sum is σ = 81879759360. Its totient is φ = 9343152000.

The previous prime is 30120313291. The next prime is 30120313309. The reversal of 30120313300 is 331302103.

It is an interprime number because it is at equal distance from previous prime (30120313291) and next prime (30120313309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30120313309) 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, 1615431 + ... + 1633969.

It is an arithmetic number, because the mean of its divisors is an integer number (568609440).

Almost surely, 230120313300 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 30120313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40939879680).

30120313300 is an abundant number, since it is smaller than the sum of its proper divisors (51759446060).

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

30120313300 is a wasteful number, since it uses less digits than its factorization.

30120313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18782 (or 18775 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 30120313300 its reverse (331302103), we get a palindrome (30451615403).

The spelling of 30120313300 in words is "thirty billion, one hundred twenty million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 211 220 275 308 350 385 422 550 700 770 844 1055 1100 1477 1540 1925 2110 2321 2954 3850 4220 4642 5275 5908 7385 7700 9284 10550 11605 14770 16247 18539 21100 23210 29540 32494 36925 37078 46420 58025 64988 73850 74156 81235 92695 116050 129773 147700 162470 185390 203929 232100 259546 324940 370780 406175 407858 463475 519092 648865 812350 815716 926950 1019645 1297730 1427503 1624700 1853900 2039290 2595460 2855006 3244325 3911729 4078580 5098225 5710012 6488650 7137515 7823458 10196450 12977300 14275030 15646916 19558645 20392900 27382103 28550060 35687575 39117290 43029019 54764206 71375150 78234580 86058038 97793225 109528412 136910515 142750300 172116076 195586450 215145095 273821030 301203133 391172900 430290190 547642060 602406266 684552575 860580380 1075725475 1204812532 1369105150 1506015665 2151450950 2738210300 3012031330 4302901900 6024062660 7530078325 15060156650 30120313300