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11110002210120 = 23351158691434089
BaseRepresentation
bin1010000110101011111110…
…1111000011010101001000
31110100002212011012221101210
42201222333233003111020
52424011241031210440
635343510424413120
72224446132430302
oct241527757032510
943302764187353
1011110002210120
1135a37a8679570
1212b52393171a0
13627890215c08
142a5a26b72972
15143ee3a8ba80
hexa1abfbc3548

11110002210120 has 128 divisors (see below), whose sum is σ = 36366227856000. Its totient is φ = 2692873082880.

The previous prime is 11110002210089. The next prime is 11110002210133. The reversal of 11110002210120 is 2101220001111.

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

It is a junction number, because it is equal to n+sod(n) for n = 11110002210096 and 11110002210105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7030036 + ... + 8464124.

It is an arithmetic number, because the mean of its divisors is an integer number (284111155125).

Almost surely, 211110002210120 is an apocalyptic number.

11110002210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11110002210120 is an abundant number, since it is smaller than the sum of its proper divisors (25256225645880).

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

11110002210120 is a wasteful number, since it uses less digits than its factorization.

11110002210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439983 (or 1439979 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11110002210120 its reverse (2101220001111), we get a palindrome (13211222211231).

The spelling of 11110002210120 in words is "eleven trillion, one hundred ten billion, two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 5869 11738 17607 23476 29345 35214 46952 58690 64559 70428 88035 117380 129118 140856 176070 193677 234760 258236 322795 352140 387354 516472 645590 704280 774708 968385 1291180 1434089 1549416 1936770 2582360 2868178 3873540 4302267 5736356 7170445 7747080 8604534 11472712 14340890 15774979 17209068 21511335 28681780 31549958 34418136 43022670 47324937 57363560 63099916 78874895 86045340 94649874 126199832 157749790 172090680 189299748 236624685 315499580 378599496 473249370 630999160 946498740 1892997480 8416668341 16833336682 25250005023 33666673364 42083341705 50500010046 67333346728 84166683410 92583351751 101000020092 126250025115 168333366820 185166703502 202000040184 252500050230 277750055253 336666733640 370333407004 462916758755 505000100460 555500110506 740666814008 925833517510 1010000200920 1111000221012 1388750276265 1851667035020 2222000442024 2777500552530 3703334070040 5555001105060 11110002210120