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11111110200120 = 2335714898883487
BaseRepresentation
bin1010000110110000000111…
…0001101100101100111000
31110100012201101002122221110
42201230001301230230320
52424021023202400440
635344212404440320
72224515445251660
oct241540161545470
943305641078843
1011111110200120
1135a4217050887
1212b54a83a90a0
13627a089335b8
142a5acdd911a0
1514405aea0080
hexa1b01c6cb38

11111110200120 has 128 divisors (see below), whose sum is σ = 38120823705600. Its totient is φ = 2537976416256.

The previous prime is 11111110200077. The next prime is 11111110200191. The reversal of 11111110200120 is 2100201111111.

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 = 11111110200096 and 11111110200105.

It is a congruent number.

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, 3190984 + ... + 5692503.

It is an arithmetic number, because the mean of its divisors is an integer number (297818935200).

Almost surely, 211111110200120 is an apocalyptic number.

11111110200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11111110200120 is an abundant number, since it is smaller than the sum of its proper divisors (27009713505480).

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

11111110200120 is a wasteful number, since it uses less digits than its factorization.

11111110200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8884997 (or 8884993 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11111110200120 its reverse (2100201111111), we get a palindrome (13211311311231).

The spelling of 11111110200120 in words is "eleven trillion, one hundred eleven billion, one hundred ten million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1489 2978 4467 5956 7445 8934 10423 11912 14890 17868 20846 22335 29780 31269 35736 41692 44670 52115 59560 62538 83384 89340 104230 125076 156345 178680 208460 250152 312690 416920 625380 1250760 8883487 17766974 26650461 35533948 44417435 53300922 62184409 71067896 88834870 106601844 124368818 133252305 177669740 186553227 213203688 248737636 266504610 310922045 355339480 373106454 497475272 533009220 621844090 746212908 932766135 1066018440 1243688180 1492425816 1865532270 2487376360 3731064540 7462129080 13227512143 26455024286 39682536429 52910048572 66137560715 79365072858 92592585001 105820097144 132275121430 158730145716 185185170002 198412682145 264550242860 277777755003 317460291432 370370340004 396825364290 462962925005 529100485720 555555510006 740740680008 793650728580 925925850010 1111111020012 1388888775015 1587301457160 1851851700020 2222222040024 2777777550030 3703703400040 5555555100060 11111110200120