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11322021101000 = 2353231134356299
BaseRepresentation
bin1010010011000001110100…
…0010111011110111001000
31111002101010010011112122212
42210300131002323313020
52440444444400213000
640025133101204252
72245663144320431
oct244603502736710
944071103145585
1011322021101000
113675707824335
12132a349b60688
1364187b58222c
142b1dbb18c488
151497a2263c35
hexa4c1d0bbdc8

11322021101000 has 128 divisors (see below), whose sum is σ = 27890078112000. Its totient is φ = 4293567308800.

The previous prime is 11322021100997. The next prime is 11322021101033. The reversal of 11322021101000 is 10112022311.

It is a super-2 number, since 2×113220211010002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420851 + ... + 4777149.

It is an arithmetic number, because the mean of its divisors is an integer number (217891235250).

Almost surely, 211322021101000 is an apocalyptic number.

11322021101000 is a gapful number since it is divisible by the number (10) 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 11322021101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13945039056000).

11322021101000 is an abundant number, since it is smaller than the sum of its proper divisors (16568057011000).

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

11322021101000 is a wasteful number, since it uses less digits than its factorization.

11322021101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4356456 (or 4356442 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11322021101000 its reverse (10112022311), we get a palindrome (11332133123311).

The spelling of 11322021101000 in words is "eleven trillion, three hundred twenty-two billion, twenty-one million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 113 115 125 184 200 226 230 250 452 460 500 565 575 904 920 1000 1130 1150 2260 2300 2599 2825 2875 4520 4600 5198 5650 5750 10396 11300 11500 12995 14125 20792 22600 23000 25990 28250 51980 56500 64975 103960 113000 129950 259900 324875 519800 649750 1299500 2599000 4356299 8712598 17425196 21781495 34850392 43562990 87125980 100194877 108907475 174251960 200389754 217814950 400779508 435629900 492261787 500974385 544537375 801559016 871259800 984523574 1001948770 1089074750 1969047148 2003897540 2178149500 2461308935 2504871925 3938094296 4007795080 4356299000 4922617870 5009743850 9845235740 10019487700 11322021101 12306544675 12524359625 19690471480 20038975400 22644042202 24613089350 25048719250 45288084404 49226178700 50097438500 56610105505 61532723375 90576168808 98452357400 100194877000 113220211010 123065446750 226440422020 246130893500 283050527525 452880844040 492261787000 566101055050 1132202110100 1415252637625 2264404220200 2830505275250 5661010550500 11322021101000