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2322011313100 = 2252193344934883
BaseRepresentation
bin100001110010100010101…
…010001101001111001100
322012222111221221102211201
4201302202222031033030
5301020434344004400
64534414532555244
7326521414335043
oct41624252151714
98188457842751
102322011313100
11815839940436
12316030a82b24
1313ac706763ab
148055907955a
1540602ca206a
hex21ca2a8d3cc

2322011313100 has 72 divisors (see below), whose sum is σ = 5066485880400. Its totient is φ = 923697684480.

The previous prime is 2322011312941. The next prime is 2322011313113. The reversal of 2322011313100 is 13131102232.

It is a super-2 number, since 2×23220113131002 (a number of 26 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 66548259 + ... + 66583141.

It is an arithmetic number, because the mean of its divisors is an integer number (70367859450).

Almost surely, 22322011313100 is an apocalyptic number.

2322011313100 is a gapful number since it is divisible by the number (20) 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 2322011313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533242940200).

2322011313100 is an abundant number, since it is smaller than the sum of its proper divisors (2744474567300).

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

2322011313100 is a wasteful number, since it uses less digits than its factorization.

2322011313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38539 (or 38532 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2322011313100 its reverse (13131102232), we get a palindrome (2335142415332).

The spelling of 2322011313100 in words is "two trillion, three hundred twenty-two billion, eleven million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 193 386 772 965 1930 3449 3860 4825 6898 9650 13796 17245 19300 34490 34883 68980 69766 86225 139532 172450 174415 344900 348830 665657 697660 872075 1331314 1744150 2662628 3328285 3488300 6656570 6732419 13313140 13464838 16641425 26929676 33282850 33662095 66565700 67324190 120311467 134648380 168310475 240622934 336620950 481245868 601557335 673241900 1203114670 2406229340 3007786675 6015573350 12031146700 23220113131 46440226262 92880452524 116100565655 232201131310 464402262620 580502828275 1161005656550 2322011313100