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300203243120 = 245114114935573
BaseRepresentation
bin1000101111001011000…
…00011111011001110000
31001200212200100211220002
410113211200133121300
514404304012234440
6345524513205132
730455213315024
oct4274540373160
91050780324802
10300203243120
111063519a4920
124a2215607a8
1322402c80101
141075c12a384
157c20459115
hex45e581f670

300203243120 has 160 divisors (see below), whose sum is σ = 780658409664. Its totient is φ = 106411827200.

The previous prime is 300203243057. The next prime is 300203243143. The reversal of 300203243120 is 21342302003.

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

It is a junction number, because it is equal to n+sod(n) for n = 300203243092 and 300203243101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53864654 + ... + 53870226.

Almost surely, 2300203243120 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 300203243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390329204832).

300203243120 is an abundant number, since it is smaller than the sum of its proper divisors (480455166544).

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

300203243120 is a wasteful number, since it uses less digits than its factorization.

300203243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7131 (or 7125 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 300203243120 its reverse (21342302003), we get a palindrome (321545545123).

The spelling of 300203243120 in words is "three hundred billion, two hundred three million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1493 1640 1804 2255 2986 3280 3608 4510 5573 5972 7216 7465 9020 11146 11944 14930 16423 18040 22292 23888 27865 29860 32846 36080 44584 55730 59720 61213 61303 65692 82115 89168 111460 119440 122426 122606 131384 164230 222920 228493 244852 245212 262768 306065 306515 328460 445840 456986 489704 490424 612130 613030 656920 673343 913972 979408 980848 1142465 1224260 1226060 1313840 1346686 1827944 2284930 2448520 2452120 2513423 2693372 3366715 3655888 4569860 4897040 4904240 5026846 5386744 6733430 8320489 9139720 10053692 10773488 12567115 13466860 16640978 18279440 20107384 25134230 26933720 33281956 40214768 41602445 50268460 53867440 66563912 83204890 91525379 100536920 133127824 166409780 183050758 201073840 332819560 341140049 366101516 457626895 665639120 682280098 732203032 915253790 1364560196 1464406064 1705700245 1830507580 2729120392 3411400490 3661015160 3752540539 5458240784 6822800980 7322030320 7505081078 13645601960 15010162156 18762702695 27291203920 30020324312 37525405390 60040648624 75050810780 150101621560 300203243120