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30120223330100 = 225210733735323663
BaseRepresentation
bin1101101100100111010010…
…01101100100111100110100
310221122110120011002201021202
412312103221031210330310
512421442204133030400
6144021012314232032
76226054133004611
oct666235115447464
9127573504081252
1030120223330100
119662a07923402
123465601a25618
1313a642b98b9b7
14761b80229508
153737696964d5
hex1b64e9364f34

30120223330100 has 144 divisors (see below), whose sum is σ = 66357743332608. Its totient is φ = 11865860751360.

The previous prime is 30120223330027. The next prime is 30120223330117. The reversal of 30120223330100 is 103332202103.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1272870869 + ... + 1272894531.

It is an arithmetic number, because the mean of its divisors is an integer number (460817662032).

Almost surely, 230120223330100 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 30120223330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33178871666304).

30120223330100 is an abundant number, since it is smaller than the sum of its proper divisors (36237520002508).

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

30120223330100 is a wasteful number, since it uses less digits than its factorization.

30120223330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24474 (or 24467 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 30120223330100 its reverse (103332202103), we get a palindrome (30223555532203).

The spelling of 30120223330100 in words is "thirty trillion, one hundred twenty billion, two hundred twenty-three million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 337 353 428 535 674 706 1070 1348 1412 1685 1765 2140 2675 3370 3530 5350 6740 7060 8425 8825 10700 16850 17650 23663 33700 35300 36059 37771 47326 72118 75542 94652 118315 118961 144236 151084 180295 188855 236630 237922 360590 377710 473260 475844 591575 594805 721180 755420 901475 944275 1183150 1189610 1802950 1888550 2366300 2379220 2531941 2974025 3605900 3777100 5063882 5948050 7974431 8353039 10127764 11896100 12659705 12728827 15948862 16706078 25319410 25457654 31897724 33412156 39872155 41765195 50638820 50915308 63298525 63644135 79744310 83530390 126597050 127288270 159488620 167060780 199360775 208825975 253194100 254576540 318220675 398721550 417651950 636441350 797443100 835303900 853264117 893775173 1272882700 1706528234 1787550346 2814974143 3413056468 3575100692 4266320585 4468875865 5629948286 8532641170 8937751730 11259896572 14074870715 17065282340 17875503460 21331602925 22344379325 28149741430 42663205850 44688758650 56299482860 70374353575 85326411700 89377517300 140748707150 281497414300 301202233301 602404466602 1204808933204 1506011166505 3012022333010 6024044666020 7530055832525 15060111665050 30120223330100