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102003033000 = 23353113091001
BaseRepresentation
bin101111011111111011…
…0101100001110101000
3100202021202200221222010
41132333312230032220
53132400234024000
6114505354555520
710240505321601
oct1367766541650
9322252627863
10102003033000
113a294064480
1217928738ba0
1398077a947b
144d190a8da8
1529beeead50
hex17bfdac3a8

102003033000 has 128 divisors (see below), whose sum is σ = 347181344640. Its totient is φ = 24728000000.

The previous prime is 102003032983. The next prime is 102003033001. The reversal of 102003033000 is 330300201.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (102003033001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1512501 + ... + 1578500.

It is an arithmetic number, because the mean of its divisors is an integer number (2712354255).

Almost surely, 2102003033000 is an apocalyptic number.

102003033000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102003033000 is an abundant number, since it is smaller than the sum of its proper divisors (245178311640).

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

102003033000 is a wasteful number, since it uses less digits than its factorization.

102003033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091036 (or 3091022 counting only the distinct ones).

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

Adding to 102003033000 its reverse (330300201), we get a palindrome (102333333201).

The spelling of 102003033000 in words is "one hundred two billion, three million, thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 3091001 6182002 9273003 12364004 15455005 18546006 24728008 30910010 34001011 37092012 46365015 61820020 68002022 74184024 77275025 92730030 102003033 123640040 136004044 154550050 170005055 185460060 204006066 231825075 272008088 309100100 340010110 370920120 386375125 408012132 463650150 510015165 618200200 680020220 772750250 816024264 850025275 927300300 1020030330 1159125375 1360040440 1545500500 1700050550 1854600600 2040060660 2318250750 2550075825 3091001000 3400101100 4080121320 4250126375 4636501500 5100151650 6800202200 8500252750 9273003000 10200303300 12750379125 17000505500 20400606600 25500758250 34001011000 51001516500 102003033000