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3102313203300 = 2235247556339551
BaseRepresentation
bin101101001001010000010…
…001101100011001100100
3101222120121112121112002010
4231021100101230121210
5401312014140001200
610333103310314220
7440064133064403
oct55112021543144
911876545545063
103102313203300
11a96757a20743
124212ba4b8970
1319671565839c
14aa21d26163a
1555a71aac150
hex2d25046c664

3102313203300 has 144 divisors (see below), whose sum is σ = 9168885153792. Its totient is φ = 809515728000.

The previous prime is 3102313203287. The next prime is 3102313203307. The reversal of 3102313203300 is 33023132013.

It is a super-2 number, since 2×31023132033002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3102313203307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78418525 + ... + 78458075.

It is an arithmetic number, because the mean of its divisors is an integer number (63672813568).

Almost surely, 23102313203300 is an apocalyptic number.

3102313203300 is a gapful number since it is divisible by the number (30) 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 3102313203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584442576896).

3102313203300 is an abundant number, since it is smaller than the sum of its proper divisors (6066571950492).

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

3102313203300 is a wasteful number, since it uses less digits than its factorization.

3102313203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45178 (or 45171 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 3102313203300 its reverse (33023132013), we get a palindrome (3135336335313).

The spelling of 3102313203300 in words is "three trillion, one hundred two billion, three hundred thirteen million, two hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2350 2820 3525 4700 5563 7050 11126 14100 16689 22252 27815 33378 39551 55630 66756 79102 83445 111260 118653 139075 158204 166890 197755 237306 261461 278150 333780 395510 417225 474612 522922 556300 593265 784383 791020 834450 988775 1045844 1186530 1307305 1568766 1668900 1858897 1977550 2373060 2614610 2966325 3137532 3717794 3921915 3955100 5229220 5576691 5932650 6536525 7435588 7843830 9294485 11153382 11865300 13073050 15687660 18588970 19609575 22306764 26146100 27883455 37177940 39219150 46472425 55766910 78438300 92944850 111533820 139417275 185889700 220022213 278834550 440044426 557669100 660066639 880088852 1100111065 1320133278 2200222130 2640266556 3300333195 4400444260 5500555325 6600666390 10341044011 11001110650 13201332780 16501665975 20682088022 22002221300 31023132033 33003331950 41364176044 51705220055 62046264066 66006663900 103410440110 124092528132 155115660165 206820880220 258526100275 310231320330 517052200550 620462640660 775578300825 1034104401100 1551156601650 3102313203300