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11120389100640 = 2532533712290861
BaseRepresentation
bin1010000111010010101011…
…0101111001010001100000
31110101002200000222122112200
42201310222311321101200
52424144024102210030
635352345231453200
72225264415514041
oct241645265712140
943332600878480
1011120389100640
1135a8148815106
1212b7257987200
13628857104991
142a63304468c8
151444008bdd60
hexa1d2ad79460

11120389100640 has 144 divisors (see below), whose sum is σ = 37959601666896. Its totient is φ = 2964556108800.

The previous prime is 11120389100591. The next prime is 11120389100641. The reversal of 11120389100640 is 4600198302111.

11120389100640 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 0 + 3 + 8 + 9 + 1 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11120389100595 and 11120389100604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120389100641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3708810 + ... + 5999670.

It is an arithmetic number, because the mean of its divisors is an integer number (263608344909).

Almost surely, 211120389100640 is an apocalyptic number.

11120389100640 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 11120389100640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18979800833448).

11120389100640 is an abundant number, since it is smaller than the sum of its proper divisors (26839212566256).

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

11120389100640 is a wasteful number, since it uses less digits than its factorization.

11120389100640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294253 (or 2294242 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 11120389100640 in words is "eleven trillion, one hundred twenty billion, three hundred eighty-nine million, one hundred thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3371 6742 10113 13484 16855 20226 26968 30339 33710 40452 50565 53936 60678 67420 80904 101130 107872 121356 134840 151695 161808 202260 242712 269680 303390 323616 404520 485424 539360 606780 809040 970848 1213560 1618080 2290861 2427120 4581722 4854240 6872583 9163444 11454305 13745166 18326888 20617749 22908610 27490332 34362915 36653776 41235498 45817220 54980664 68725830 73307552 82470996 91634440 103088745 109961328 137451660 164941992 183268880 206177490 219922656 274903320 329883984 366537760 412354980 549806640 659767968 824709960 1099613280 1649419920 3298839840 7722492431 15444984862 23167477293 30889969724 38612462155 46334954586 61779939448 69502431879 77224924310 92669909172 115837386465 123559878896 139004863758 154449848620 185339818344 231674772930 247119757792 278009727516 308899697240 347512159395 370679636688 463349545860 556019455032 617799394480 695024318790 741359273376 926699091720 1112038910064 1235598788960 1390048637580 1853398183440 2224077820128 2780097275160 3706796366880 5560194550320 11120389100640