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11207050071120 = 2433522922656983
BaseRepresentation
bin1010001100010101100000…
…1111010000110001010000
31110200101100120220002021000
42203011120033100301100
52432104014304233440
635500240413102000
72234453101561461
oct243053017206120
943611316802230
1011207050071120
113630979663972
121310002487900
13633a8822aa37
142aa5d1ac8d68
151467c3a38730
hexa31583d0c50

11207050071120 has 160 divisors (see below), whose sum is σ = 38770631020800. Its totient is φ = 2975496132096.

The previous prime is 11207050071089. The next prime is 11207050071163. The reversal of 11207050071120 is 2117005070211.

11207050071120 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 70 + 500 + 71 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 10833852 + ... + 11823131.

It is an arithmetic number, because the mean of its divisors is an integer number (242316443880).

Almost surely, 211207050071120 is an apocalyptic number.

11207050071120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11207050071120 is an abundant number, since it is smaller than the sum of its proper divisors (27563580949680).

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

11207050071120 is a wasteful number, since it uses less digits than its factorization.

11207050071120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22657234 (or 22657222 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 27.

The spelling of 11207050071120 in words is "eleven trillion, two hundred seven billion, fifty million, seventy-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 229 240 270 360 432 458 540 687 720 916 1080 1145 1374 1832 2061 2160 2290 2748 3435 3664 4122 4580 5496 6183 6870 8244 9160 10305 10992 12366 13740 16488 18320 20610 24732 27480 30915 32976 41220 49464 54960 61830 82440 98928 123660 164880 247320 494640 22656983 45313966 67970949 90627932 113284915 135941898 181255864 203912847 226569830 271883796 339854745 362511728 407825694 453139660 543767592 611738541 679709490 815651388 906279320 1019564235 1087535184 1223477082 1359418980 1631302776 1812558640 2039128470 2446954164 2718837960 3058692705 3262605552 4078256940 4893908328 5188449107 5437675920 6117385410 8156513880 9787816656 10376898214 12234770820 15565347321 16313027760 20753796428 24469541640 25942245535 31130694642 41507592856 46696041963 48939083280 51884491070 62261389284 77826736605 83015185712 93392083926 103768982140 124522778568 140088125889 155653473210 186784167852 207537964280 233480209815 249045557136 280176251778 311306946420 373568335704 415075928560 466960419630 560352503556 622613892840 700440629445 747136671408 933920839260 1120705007112 1245227785680 1400881258890 1867841678520 2241410014224 2801762517780 3735683357040 5603525035560 11207050071120