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11140101320220 = 22325178294391503
BaseRepresentation
bin1010001000011100000111…
…0010000010111000011100
31110102222112211000011021100
42202013001302002320130
52430004411414221340
635405405241033100
72226563044564005
oct242070162027034
943388484004240
1011140101320220
113605543856474
1212bb039485790
1362a678c9c732
142a728041a1ac
15144ba6241830
hexa21c1c82e1c

11140101320220 has 144 divisors (see below), whose sum is σ = 35822552088960. Its totient is φ = 2792573687808.

The previous prime is 11140101320189. The next prime is 11140101320263. The reversal of 11140101320220 is 2202310104111.

11140101320220 is a `hidden beast` number, since 1 + 11 + 401 + 0 + 1 + 32 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11140101320193 and 11140101320202.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 340989 + ... + 4732491.

It is an arithmetic number, because the mean of its divisors is an integer number (248767722840).

Almost surely, 211140101320220 is an apocalyptic number.

11140101320220 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 11140101320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17911276044480).

11140101320220 is an abundant number, since it is smaller than the sum of its proper divisors (24682450768740).

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

11140101320220 is a wasteful number, since it uses less digits than its factorization.

11140101320220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392364 (or 4392359 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11140101320220 its reverse (2202310104111), we get a palindrome (13342411424331).

The spelling of 11140101320220 in words is "eleven trillion, one hundred forty billion, one hundred one million, three hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 829 1020 1530 1658 2487 3060 3316 4145 4974 7461 8290 9948 12435 14093 14922 16580 24870 28186 29844 37305 42279 49740 56372 70465 74610 84558 126837 140930 149220 169116 211395 253674 281860 422790 507348 634185 845580 1268370 2536740 4391503 8783006 13174509 17566012 21957515 26349018 39523527 43915030 52698036 65872545 74655551 79047054 87830060 131745090 149311102 158094108 197617635 223966653 263490180 298622204 373277755 395235270 447933306 671899959 746555510 790470540 895866612 1119833265 1343799918 1493111020 2239666530 2687599836 3359499795 3640555987 4479333060 6718999590 7281111974 10921667961 13437999180 14562223948 18202779935 21843335922 32765003883 36405559870 43686671844 54608339805 61889451779 65530007766 72811119740 109216679610 123778903558 131060015532 163825019415 185668355337 218433359220 247557807116 309447258895 327650038830 371336710674 557005066011 618894517790 655300077660 742673421348 928341776685 1114010132022 1237789035580 1856683553370 2228020264044 2785025330055 3713367106740 5570050660110 11140101320220