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30103002300 = 22352737338431
BaseRepresentation
bin11100000010010001…
…110101110010111100
32212200221002221222010
4130002101311302330
5443122332033200
621455031451220
72113660204050
oct340221656274
985627087863
1030103002300
11118483a61a8
125a01526b10
132ab981a2c7
141657dbbc60
15bb2bc3150
hex702475cbc

30103002300 has 144 divisors (see below), whose sum is σ = 99810056192. Its totient is φ = 6862060800.

The previous prime is 30103002299. The next prime is 30103002311. The reversal of 30103002300 is 320030103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 764085 + ... + 802515.

Almost surely, 230103002300 is an apocalyptic number.

30103002300 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 30103002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49905028096).

30103002300 is an abundant number, since it is smaller than the sum of its proper divisors (69707053892).

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

30103002300 is a wasteful number, since it uses less digits than its factorization.

30103002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38828 (or 38821 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 30103002300 its reverse (320030103), we get a palindrome (30423032403).

The spelling of 30103002300 in words is "thirty billion, one hundred three million, two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 373 420 525 700 746 1050 1119 1492 1865 2100 2238 2611 3730 4476 5222 5595 7460 7833 9325 10444 11190 13055 15666 18650 22380 26110 27975 31332 37300 38431 39165 52220 55950 65275 76862 78330 111900 115293 130550 153724 156660 192155 195825 230586 261100 269017 384310 391650 461172 538034 576465 768620 783300 807051 960775 1076068 1152930 1345085 1614102 1921550 2305860 2690170 2882325 3228204 3843100 4035255 5380340 5764650 6725425 8070510 11529300 13450850 14334763 16141020 20176275 26901700 28669526 40352550 43004289 57339052 71673815 80705100 86008578 100343341 143347630 172017156 200686682 215021445 286695260 301030023 358369075 401373364 430042890 501716705 602060046 716738150 860085780 1003433410 1075107225 1204120092 1433476300 1505150115 2006866820 2150214450 2508583525 3010300230 4300428900 5017167050 6020600460 7525750575 10034334100 15051501150 30103002300