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111100220122000 = 2453173267653533
BaseRepresentation
bin11001010000101110001001…
…001001111010001110010000
3112120101002002100210220110111
4121100232021021322032100
5104030231222322401000
61032142423031211104
732254504011326314
oct3120561111721620
9476332070726414
10111100220122000
113244437a97809a
1210563b72b16a94
1349cb92385a825
141d613ca747b44
15cc9e89694cba
hex650b8927a390

111100220122000 has 80 divisors (see below), whose sum is σ = 284442704827632. Its totient is φ = 41825965209600.

The previous prime is 111100220121991. The next prime is 111100220122049. The reversal of 111100220122000 is 221022001111.

It can be written as a sum of positive squares in 8 ways, for example, as 4171136336896 + 106929083785104 = 2042336^2 + 10340652^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1111002201220002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1633792767 + ... + 1633860766.

Almost surely, 2111100220122000 is an apocalyptic number.

111100220122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111100220122000 is an abundant number, since it is smaller than the sum of its proper divisors (173342484705632).

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

111100220122000 is a wasteful number, since it uses less digits than its factorization.

111100220122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267653573 (or 3267653557 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 111100220122000 its reverse (221022001111), we get a palindrome (111321242123111).

The spelling of 111100220122000 in words is "one hundred eleven trillion, one hundred billion, two hundred twenty million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 17000 34000 3267653533 6535307066 13070614132 16338267665 26141228264 32676535330 52282456528 55550110061 65353070660 81691338325 111100220122 130706141320 163382676650 222200440244 261412282640 277750550305 326765353300 408456691625 444400880488 555501100610 653530706600 816913383250 888801760976 1111002201220 1307061413200 1388752751525 1633826766500 2222004402440 2777505503050 3267653533000 4444008804880 5555011006100 6535307066000 6943763757625 11110022012200 13887527515250 22220044024400 27775055030500 55550110061000 111100220122000