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100024302300 = 2235213169315149
BaseRepresentation
bin101110100100111101…
…0011011101011011100
3100120011212101000201220
41131021322123223130
53114322210133200
6113541151533340
710140460353456
oct1351172335334
9316155330656
10100024302300
113946912484a
1217475b2a250
13958086b1c0
144bac3892d6
15290643a4a0
hex1749e9badc

100024302300 has 144 divisors (see below), whose sum is σ = 311870143200. Its totient is φ = 24605199360.

The previous prime is 100024302299. The next prime is 100024302331. The reversal of 100024302300 is 3203420001.

It is a super-2 number, since 2×1000243023002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100024302300.

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, 6595126 + ... + 6610274.

Almost surely, 2100024302300 is an apocalyptic number.

100024302300 is a gapful number since it is divisible by the number (10) 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 100024302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155935071600).

100024302300 is an abundant number, since it is smaller than the sum of its proper divisors (211845840900).

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

100024302300 is a wasteful number, since it uses less digits than its factorization.

100024302300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16872 (or 16865 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 100024302300 its reverse (3203420001), we get a palindrome (103227722301).

The spelling of 100024302300 in words is "one hundred billion, twenty-four million, three hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1693 1950 3386 3900 5079 6772 8465 10158 15149 16930 20316 22009 25395 30298 33860 42325 44018 45447 50790 60596 66027 75745 84650 88036 90894 101580 110045 126975 132054 151490 169300 181788 196937 220090 227235 253950 264108 302980 330135 378725 393874 440180 454470 507900 550225 590811 660270 757450 787748 908940 984685 1100450 1136175 1181622 1320540 1514900 1650675 1969370 2200900 2272350 2363244 2954055 3301350 3938740 4544700 4923425 5908110 6602700 9846850 11816220 14770275 19693700 25647257 29540550 51294514 59081100 76941771 102589028 128236285 153883542 256472570 307767084 333414341 384708855 512945140 641181425 666828682 769417710 1000243023 1282362850 1333657364 1538835420 1667071705 1923544275 2000486046 2564725700 3334143410 3847088550 4000972092 5001215115 6668286820 7694177100 8335358525 10002430230 16670717050 20004860460 25006075575 33341434100 50012151150 100024302300