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11004022021300 = 22527113146099799
BaseRepresentation
bin1010000000100001001011…
…0100101101110010110100
31102221222022012210112022021
42200020102310231302310
52420242214114140200
635223102233242524
72214004631615050
oct240102264556264
942858265715267
1011004022021300
113562863614060
1212987a0863444
1361a8a0785c09
142a08517bcc60
1514138e82e41a
hexa0212d2dcb4

11004022021300 has 144 divisors (see below), whose sum is σ = 30731233075200. Its totient is φ = 3319185456000.

The previous prime is 11004022021271. The next prime is 11004022021303. The reversal of 11004022021300 is 312022040011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004022021303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22811200 + ... + 23288599.

It is an arithmetic number, because the mean of its divisors is an integer number (213411340800).

Almost surely, 211004022021300 is an apocalyptic number.

11004022021300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11004022021300 is an abundant number, since it is smaller than the sum of its proper divisors (19727211053900).

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

11004022021300 is a wasteful number, since it uses less digits than its factorization.

11004022021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46099862 (or 46099855 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11004022021300 its reverse (312022040011), we get a palindrome (11316044061311).

The spelling of 11004022021300 in words is "eleven trillion, four billion, twenty-two million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 31 35 44 50 55 62 70 77 100 110 124 140 154 155 175 217 220 275 308 310 341 350 385 434 550 620 682 700 770 775 868 1085 1100 1364 1540 1550 1705 1925 2170 2387 3100 3410 3850 4340 4774 5425 6820 7700 8525 9548 10850 11935 17050 21700 23870 34100 47740 59675 119350 238700 46099799 92199598 184399196 230498995 322698593 460997990 507097789 645397186 921995980 1014195578 1152494975 1290794372 1429093769 1613492965 2028391156 2304989950 2535488945 2858187538 3226985930 3549684523 4609979900 5070977890 5716375076 6453971860 7099369046 7145468845 8067464825 10003656383 10141955780 12677444725 14198738092 14290937690 15720031459 16134929650 17748422615 20007312766 25354889450 28581875380 31440062918 32269859300 35496845230 35727344225 40014625532 50018281915 50709778900 62880125836 70993690460 71454688450 78600157295 88742113075 100036563830 110040220213 142909376900 157200314590 177484226150 200073127660 220080440426 250091409575 314400629180 354968452300 393000786475 440160880852 500182819150 550201101065 786001572950 1000365638300 1100402202130 1572003145900 2200804404260 2751005505325 5502011010650 11004022021300