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20111133120 = 2635131611469
BaseRepresentation
bin10010101110101101…
…111000100111000000
31220220120122102020020
4102232231320213000
5312141422224440
613123335213440
71311241545111
oct225655704700
956816572206
1020111133120
118590234a81
123a93217280
131b86718990
14d8ad74208
157ca8be3d0
hex4aeb789c0

20111133120 has 112 divisors (see below), whose sum is σ = 68764647840. Its totient is φ = 4950429696.

The previous prime is 20111133113. The next prime is 20111133137. The reversal of 20111133120 is 2133111102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20111133120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 793255 + ... + 818214.

It is an arithmetic number, because the mean of its divisors is an integer number (613970070).

Almost surely, 220111133120 is an apocalyptic number.

20111133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111133120 is an abundant number, since it is smaller than the sum of its proper divisors (48653514720).

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

20111133120 is a wasteful number, since it uses less digits than its factorization.

20111133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611502 (or 1611492 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 20111133120 its reverse (2133111102), we get a palindrome (22244244222).

The spelling of 20111133120 in words is "twenty billion, one hundred eleven million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 1611469 3222938 4834407 6445876 8057345 9668814 12891752 16114690 19337628 20949097 24172035 25783504 32229380 38675256 41898194 48344070 51567008 62847291 64458760 77350512 83796388 96688140 103134016 104745485 125694582 128917520 154701024 167592776 193376280 209490970 251389164 257835040 309402048 314236455 335185552 386752560 418981940 502778328 515670080 628472910 670371104 773505120 837963880 1005556656 1256945820 1340742208 1547010240 1675927760 2011113312 2513891640 3351855520 4022226624 5027783280 6703711040 10055566560 20111133120