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11200020020112 = 2437113083982909
BaseRepresentation
bin1010001011111011010100…
…1101101111101110010000
31110122201012122121111020110
42202332311031233232100
52432000120111120422
635453115042441320
72234113636252110
oct242766515575620
943581178544213
1011200020020112
1136289a1354560
12130a780063240
13633207932841
142aa126189040
1514651178560c
hexa2fb536fb90

11200020020112 has 160 divisors (see below), whose sum is σ = 36084529013760. Its totient is φ = 2908149557760.

The previous prime is 11200020020087. The next prime is 11200020020113. The reversal of 11200020020112 is 21102002000211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11200020020113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10903314 + ... + 11886222.

It is an arithmetic number, because the mean of its divisors is an integer number (225528306336).

Almost surely, 211200020020112 is an apocalyptic number.

11200020020112 is a gapful number since it is divisible by the number (12) 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 11200020020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18042264506880).

11200020020112 is an abundant number, since it is smaller than the sum of its proper divisors (24884508993648).

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

11200020020112 is a wasteful number, since it uses less digits than its factorization.

11200020020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986021 (or 986015 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11200020020112 its reverse (21102002000211), we get a palindrome (32302022020323).

The spelling of 11200020020112 in words is "eleven trillion, two hundred billion, twenty million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3083 3696 6166 9249 12332 18498 21581 24664 33913 36996 43162 49328 64743 67826 73992 86324 101739 129486 135652 147984 172648 203478 237391 258972 271304 345296 406956 474782 517944 542608 712173 813912 949564 982909 1035888 1424346 1627824 1899128 1965818 2848692 2948727 3798256 3931636 5697384 5897454 6880363 7863272 10811999 11394768 11794908 13760726 15726544 20641089 21623998 23589816 27521452 32435997 41282178 43247996 47179632 55042904 64871994 75683993 82564356 86495992 110085808 129743988 151367986 165128712 172991984 227051979 259487976 302735972 330257424 454103958 518975952 605471944 908207916 1210943888 1816415832 3030308447 3632831664 6060616894 9090925341 12121233788 18181850682 21212159129 24242467576 33333392917 36363701364 42424318258 48484935152 63636477387 66666785834 72727402728 84848636516 100000178751 127272954774 133333571668 145454805456 169697273032 200000357502 233333750419 254545909548 266667143336 339394546064 400000715004 466667500838 509091819096 533334286672 700001251257 800001430008 933335001676 1018183638192 1400002502514 1600002860016 1866670003352 2800005005028 3733340006704 5600010010056 11200020020112