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11002010221120 = 265311621684191
BaseRepresentation
bin1010000000011001101011…
…1010010011101001000000
31102221210010000020111021111
42200012122322103221000
52420224104104033440
635222130445333104
72213604032605312
oct240063272235100
942853100214244
1011002010221120
113561a20a47886
12129831ab67194
1361a63ca397c9
142a07005317b2
151412c2dda4ea
hexa019ae93a40

11002010221120 has 112 divisors (see below), whose sum is σ = 27060373794816. Its totient is φ = 4256209152000.

The previous prime is 11002010221099. The next prime is 11002010221123. The reversal of 11002010221120 is 2112201020011.

It is a self number, because there is not a number n which added to its sum of digits gives 11002010221120.

It is not an unprimeable number, because it can be changed into a prime (11002010221123) 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 15 ways as a sum of consecutive naturals, for example, 15738225 + ... + 16422415.

Almost surely, 211002010221120 is an apocalyptic number.

11002010221120 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 11002010221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13530186897408).

11002010221120 is an abundant number, since it is smaller than the sum of its proper divisors (16058363573696).

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

11002010221120 is a wasteful number, since it uses less digits than its factorization.

11002010221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685860 (or 685850 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11002010221120 its reverse (2112201020011), we get a palindrome (13114211241131).

The spelling of 11002010221120 in words is "eleven trillion, two billion, ten million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1621 1984 2480 3242 4960 6484 8105 9920 12968 16210 25936 32420 50251 51872 64840 100502 103744 129680 201004 251255 259360 402008 502510 518720 684191 804016 1005020 1368382 1608032 2010040 2736764 3216064 3420955 4020080 5473528 6841910 8040160 10947056 13683820 16080320 21209921 21894112 27367640 42419842 43788224 54735280 84839684 106049605 109470560 169679368 212099210 218941120 339358736 424198420 678717472 848396840 1109073611 1357434944 1696793680 2218147222 3393587360 4436294444 5545368055 6787174720 8872588888 11090736110 17745177776 22181472220 34381281941 35490355552 44362944440 68762563882 70980711104 88725888880 137525127764 171906409705 177451777760 275050255528 343812819410 354903555520 550100511056 687625638820 1100201022112 1375251277640 2200402044224 2750502555280 5501005110560 11002010221120