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1003300223100 = 2235271925145369
BaseRepresentation
bin11101001100110010101…
…10100111100001111100
310112220200201101010111020
432212121112213201330
5112414224324114400
62044524301424140
7132325500120510
oct16463126474174
93486621333436
101003300223100
113575519023aa
1214254326b050
13737c2c28586
14367ba880140
151b1713602a0
hexe9995a787c

1003300223100 has 144 divisors (see below), whose sum is σ = 3492188985600. Its totient is φ = 217255979520.

The previous prime is 1003300223063. The next prime is 1003300223131. The reversal of 1003300223100 is 13220033001.

It is a super-2 number, since 2×10033002231002 (a number of 25 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 1003300223100.

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, 12532785 + ... + 12612584.

It is an arithmetic number, because the mean of its divisors is an integer number (24251312400).

Almost surely, 21003300223100 is an apocalyptic number.

1003300223100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003300223100 is an abundant number, since it is smaller than the sum of its proper divisors (2488888762500).

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

1003300223100 is a wasteful number, since it uses less digits than its factorization.

1003300223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25145412 (or 25145405 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1003300223100 its reverse (13220033001), we get a palindrome (1016520256101).

The spelling of 1003300223100 in words is "one trillion, three billion, three hundred million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 42 50 57 60 70 75 76 84 95 100 105 114 133 140 150 175 190 210 228 266 285 300 350 380 399 420 475 525 532 570 665 700 798 950 1050 1140 1330 1425 1596 1900 1995 2100 2660 2850 3325 3990 5700 6650 7980 9975 13300 19950 39900 25145369 50290738 75436107 100581476 125726845 150872214 176017583 251453690 301744428 352035166 377180535 477762011 502907380 528052749 628634225 704070332 754361070 880087915 955524022 1056105498 1257268450 1433286033 1508722140 1760175830 1885902675 1911048044 2112210996 2388810055 2514536900 2640263745 2866572066 3344334077 3520351660 3771805350 4400439575 4777620110 5280527490 5733144132 6688668154 7166430165 7543610700 8800879150 9555240220 10033002231 10561054980 11944050275 13201318725 13377336308 14332860330 16721670385 17601758300 20066004462 23888100550 26402637450 28665720660 33443340770 35832150825 40132008924 47776201100 50165011155 52805274900 66886681540 71664301650 83608351925 100330022310 143328603300 167216703850 200660044620 250825055775 334433407700 501650111550 1003300223100