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11020513501116 = 223576126552639
BaseRepresentation
bin1010000001011110100111…
…0010101101111110111100
31110000112212112102111200000
42200113221302231332330
52421030002424013431
635234430511034300
72215130412105120
oct240275162557674
943015775374600
1011020513501116
113569856626a19
12129ba2380b990
1361c2cb3000b2
142a1577b29580
15141a075589e6
hexa05e9cadfbc

11020513501116 has 144 divisors (see below), whose sum is σ = 33557438853120. Its totient is φ = 3097099696320.

The previous prime is 11020513501097. The next prime is 11020513501171. The reversal of 11020513501116 is 61110531502011.

11020513501116 is a `hidden beast` number, since 1 + 10 + 20 + 5 + 13 + 501 + 116 = 666.

It is a super-2 number, since 2×110205135011162 (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11020513501116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12861276 + ... + 13691363.

Almost surely, 211020513501116 is an apocalyptic number.

It is an amenable number.

11020513501116 is an abundant number, since it is smaller than the sum of its proper divisors (22536925352004).

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

11020513501116 is a wasteful number, since it uses less digits than its factorization.

11020513501116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26552726 (or 26552712 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 11020513501116 in words is "eleven trillion, twenty billion, five hundred thirteen million, five hundred one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 61 63 81 84 108 122 126 162 183 189 243 244 252 324 366 378 427 486 549 567 732 756 854 972 1098 1134 1281 1647 1701 1708 2196 2268 2562 3294 3402 3843 4941 5124 6588 6804 7686 9882 11529 14823 15372 19764 23058 29646 34587 46116 59292 69174 103761 138348 207522 415044 26552639 53105278 79657917 106210556 159315834 185868473 238973751 318631668 371736946 477947502 557605419 716921253 743473892 955895004 1115210838 1433842506 1619710979 1672816257 2150763759 2230421676 2867685012 3239421958 3345632514 4301527518 4859132937 5018448771 6452291277 6478843916 6691265028 8603055036 9718265874 10036897542 11337976853 12904582554 14577398811 15055346313 19436531748 20073795084 22675953706 25809165108 29154797622 30110692626 34013930559 43732196433 45166038939 45351907412 58309595244 60221385252 68027861118 87464392866 90332077878 102041791677 131196589299 136055722236 174928785732 180664155756 204083583354 262393178598 306125375031 393589767897 408167166708 524786357196 612250750062 787179535794 918376125093 1224501500124 1574359071588 1836752250186 2755128375279 3673504500372 5510256750558 11020513501116