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3003122243100 = 2235278317229617
BaseRepresentation
bin101011101100111000000…
…010001101011000011100
3101122002120202022122210110
4223230320002031120130
5343200343243234400
610215340524010020
7426653111612460
oct53547002153034
911562522278713
103003122243100
11a58687240181
12406037690910
1318a268645325
14a54cd8404a0
15531b88d2e50
hex2bb3808d61c

3003122243100 has 144 divisors (see below), whose sum is σ = 10049967260928. Its totient is φ = 678157685760.

The previous prime is 3003122243087. The next prime is 3003122243129. The reversal of 3003122243100 is 13422213003.

It is a super-2 number, since 2×30031222431002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 8440509 + ... + 8789108.

It is an arithmetic number, because the mean of its divisors is an integer number (69791439312).

Almost surely, 23003122243100 is an apocalyptic number.

3003122243100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3003122243100 is an abundant number, since it is smaller than the sum of its proper divisors (7046845017828).

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

3003122243100 is a wasteful number, since it uses less digits than its factorization.

3003122243100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17229724 (or 17229717 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 3003122243100 its reverse (13422213003), we get a palindrome (3016544456103).

The spelling of 3003122243100 in words is "three trillion, three billion, one hundred twenty-two million, two hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 83 84 100 105 140 150 166 175 210 249 300 332 350 415 420 498 525 581 700 830 996 1050 1162 1245 1660 1743 2075 2100 2324 2490 2905 3486 4150 4980 5810 6225 6972 8300 8715 11620 12450 14525 17430 24900 29050 34860 43575 58100 87150 174300 17229617 34459234 51688851 68918468 86148085 103377702 120607319 172296170 206755404 241214638 258444255 344592340 361821957 430740425 482429276 516888510 603036595 723643914 861480850 1033777020 1206073190 1292221275 1430058211 1447287828 1722961700 1809109785 2412146380 2584442550 2860116422 3015182975 3618219570 4290174633 5168885100 5720232844 6030365950 7150291055 7236439140 8580349266 9045548925 10010407477 12060731900 14300582110 17160698532 18091097850 20020814954 21450873165 28601164220 30031222431 35751455275 36182195700 40041629908 42901746330 50052037385 60062444862 71502910550 85803492660 100104074770 107254365825 120124889724 143005821100 150156112155 200208149540 214508731650 250260186925 300312224310 429017463300 500520373850 600624448620 750780560775 1001040747700 1501561121550 3003122243100