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11210233231120 = 2457112381976403
BaseRepresentation
bin1010001100100001010111…
…1110000011011100010000
31110200200120102120100212211
42203020111332003130100
52432132024201343440
635501524323201504
72234625013153360
oct243102576033420
943620512510784
1011210233231120
113632262455110
121310750516294
13634174851571
142aa81476c9a0
1514690d20beea
hexa3215f83710

11210233231120 has 160 divisors (see below), whose sum is σ = 32496907207680. Its totient is φ = 3493906245120.

The previous prime is 11210233231103. The next prime is 11210233231147. The reversal of 11210233231120 is 2113233201211.

It is a super-2 number, since 2×112102332311202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11210233231091 and 11210233231100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146686839 + ... + 146763241.

It is an arithmetic number, because the mean of its divisors is an integer number (203105670048).

Almost surely, 211210233231120 is an apocalyptic number.

11210233231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11210233231120 is an abundant number, since it is smaller than the sum of its proper divisors (21286673976560).

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

11210233231120 is a wasteful number, since it uses less digits than its factorization.

11210233231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100253 (or 100247 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 11210233231120 its reverse (2113233201211), we get a palindrome (13323466432331).

The spelling of 11210233231120 in words is "eleven trillion, two hundred ten billion, two hundred thirty-three million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 23819 47638 76403 95276 119095 152806 166733 190552 238190 262009 305612 333466 381104 382015 476380 524018 534821 611224 666932 764030 833665 840433 952760 1048036 1069642 1222448 1310045 1333864 1528060 1667330 1680866 1834063 1905520 2096072 2139284 2620090 2667728 2674105 3056120 3334660 3361732 3668126 4192144 4202165 4278568 5240180 5348210 5883031 6112240 6669320 6723464 7336252 8404330 8557136 9170315 10480360 10696420 11766062 13338640 13446928 14672504 16808660 18340630 20960720 21392840 23532124 29345008 29415155 33617320 36681260 42785680 47064248 58830310 67234640 73362520 94128496 117660620 146725040 235321240 470642480 1819843057 3639686114 7279372228 9099215285 12738901399 14558744456 18198430570 20018273627 25477802798 29117488912 36396861140 40036547254 50955605596 63694506995 72793722280 80073094508 100091368135 101911211192 127389013990 140127915389 145587444560 160146189016 200182736270 203822422384 254778027980 280255830778 320292378032 400365472540 509556055960 560511661556 700639576945 800730945080 1019112111920 1121023323112 1401279153890 1601461890160 2242046646224 2802558307780 5605116615560 11210233231120