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2119559112 = 2332112325059
BaseRepresentation
bin111111001010101…
…1110011111001000
312110201022202111100
41332111132133020
513320101342422
6550153301400
7103344645426
oct17625363710
95421282440
102119559112
11998488150
124b1a04860
1327a1786b8
141616dc116
15c612c7ac
hex7e55e7c8

2119559112 has 144 divisors (see below), whose sum is σ = 6547741200. Its totient is φ = 614243520.

The previous prime is 2119559087. The next prime is 2119559159.

2119559112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 416439 + ... + 421497.

It is an arithmetic number, because the mean of its divisors is an integer number (45470425).

Almost surely, 22119559112 is an apocalyptic number.

2119559112 is a gapful number since it is divisible by the number (22) 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 2119559112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273870600).

2119559112 is an abundant number, since it is smaller than the sum of its proper divisors (4428182088).

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

2119559112 is a wasteful number, since it uses less digits than its factorization.

2119559112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128 (or 5098 counting only the distinct ones).

The product of its digits is 8100, while the sum is 36.

The square root of 2119559112 is about 46038.6697462036. The cubic root of 2119559112 is about 1284.5425982865.

The spelling of 2119559112 in words is "two billion, one hundred nineteen million, five hundred fifty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 132 138 184 198 207 253 264 276 396 414 506 529 552 759 792 828 1012 1058 1518 1587 1656 2024 2116 2277 3036 3174 4232 4554 4761 5059 5819 6072 6348 9108 9522 10118 11638 12696 15177 17457 18216 19044 20236 23276 30354 34914 38088 40472 45531 46552 52371 55649 60708 69828 91062 104742 111298 116357 121416 139656 166947 182124 209484 222596 232714 333894 349071 364248 418968 445192 465428 500841 667788 698142 930856 1001682 1047213 1279927 1335576 1396284 2003364 2094426 2559854 2676211 2792568 3839781 4006728 4188852 5119708 5352422 7679562 8028633 8377704 10239416 10704844 11519343 15359124 16057266 21409688 23038686 24085899 29438321 30718248 32114532 46077372 48171798 58876642 64229064 88314963 92154744 96343596 117753284 176629926 192687192 235506568 264944889 353259852 529889778 706519704 1059779556 2119559112