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11121122201100 = 22352374721317083
BaseRepresentation
bin1010000111010101011010…
…0010011100111000001100
31110101011120010110000022120
42201311112202130320030
52424202024240413400
635352550100412540
72225321526666132
oct241652642347014
943334503400276
1011121122201100
1135a849461235a
1212b74213a7150
13628942c63332
142a639d959752
15144444e2dca0
hexa1d5689ce0c

11121122201100 has 144 divisors (see below), whose sum is σ = 33749889535488. Its totient is φ = 2824087023360.

The previous prime is 11121122201099. The next prime is 11121122201141. The reversal of 11121122201100 is 110222112111.

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 11121122201100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10136842 + ... + 11180241.

Almost surely, 211121122201100 is an apocalyptic number.

11121122201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121122201100 is an abundant number, since it is smaller than the sum of its proper divisors (22628767334388).

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

11121122201100 is a wasteful number, since it uses less digits than its factorization.

11121122201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21317184 (or 21317177 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11121122201100 its reverse (110222112111), we get a palindrome (11231344313211).

It can be divided in two parts, 11121 and 122201100, that added together give a palindrome (122212221).

The spelling of 11121122201100 in words is "eleven trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 47 50 60 74 75 94 100 111 141 148 150 185 188 222 235 282 300 370 444 470 555 564 705 740 925 940 1110 1175 1410 1739 1850 2220 2350 2775 2820 3478 3525 3700 4700 5217 5550 6956 7050 8695 10434 11100 14100 17390 20868 26085 34780 43475 52170 86950 104340 130425 173900 260850 521700 21317083 42634166 63951249 85268332 106585415 127902498 213170830 255804996 319756245 426341660 532927075 639512490 788732071 1001902901 1065854150 1279024980 1577464142 1598781225 2003805802 2131708300 2366196213 3005708703 3154928284 3197562450 3943660355 4007611604 4732392426 5009514505 6011417406 6395124900 7887320710 9464784852 10019029010 11830981065 12022834812 15028543515 15774641420 19718301775 20038058020 23661962130 25047572525 30057087030 37070407337 39436603550 47323924260 50095145050 59154905325 60114174060 74140814674 75142717575 78873207100 100190290100 111211222011 118309810650 148281629348 150285435150 185352036685 222422444022 236619621300 300570870300 370704073370 444844888044 556056110055 741408146740 926760183425 1112112220110 1853520366850 2224224440220 2780280550275 3707040733700 5560561100550 11121122201100