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3102313303100 = 22521143922132903
BaseRepresentation
bin101101001001010000010…
…010000100110000111100
3101222120121112210120222102
4231021100102010300330
5401312014201144400
610333103312404232
7440064133661354
oct55112022046074
911876545716872
103102313303100
11a96757a89720
124212ba546678
1319671569193b
14aa21d289b64
1555a71acb9d5
hex2d250484c3c

3102313303100 has 144 divisors (see below), whose sum is σ = 7366613506560. Its totient is φ = 1124648044800.

The previous prime is 3102313303087. The next prime is 3102313303121. The reversal of 3102313303100 is 13033132013.

It is a super-2 number, since 2×31023133031002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1068656249 + ... + 1068659151.

It is an arithmetic number, because the mean of its divisors is an integer number (51157038240).

Almost surely, 23102313303100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3102313303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683306753280).

3102313303100 is an abundant number, since it is smaller than the sum of its proper divisors (4264300203460).

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

3102313303100 is a wasteful number, since it uses less digits than its factorization.

3102313303100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5580 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 3102313303100 its reverse (13033132013), we get a palindrome (3115346435113).

The spelling of 3102313303100 in words is "three trillion, one hundred two billion, three hundred thirteen million, three hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 439 550 878 1100 1756 2195 2213 2903 4390 4426 4829 5806 8780 8852 9658 10975 11065 11612 14515 19316 21950 22130 24145 24343 29030 31933 43900 44260 48290 48686 55325 58060 63866 72575 96580 97372 110650 120725 121715 127732 145150 159665 221300 241450 243430 290300 319330 482900 486860 608575 638660 798325 971507 1217150 1274417 1596650 1943014 2434300 2548834 3193300 3886028 4857535 5097668 6372085 6424339 9715070 10686577 12744170 12848678 14018587 19430140 21373154 24287675 25488340 25697356 28037174 31860425 32121695 42746308 48575350 53432885 56074348 63720850 64243390 70092935 70667729 97150700 106865770 127441700 128486780 140185870 141335458 160608475 213731540 267164425 280371740 282670916 321216950 350464675 353338645 534328850 642433900 700929350 706677290 1068657700 1401858700 1413354580 1766693225 2820284821 3533386450 5640569642 7066772900 11281139284 14101424105 28202848210 31023133031 56405696420 62046266062 70507120525 124092532124 141014241050 155115665155 282028482100 310231330310 620462660620 775578325775 1551156651550 3102313303100