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11120011220100 = 223522310067160087
BaseRepresentation
bin1010000111010001010001…
…0100011001010010000100
31110101001200200221022220010
42201310110110121102010
52424142240333020400
635352243532310220
72225252146546356
oct241642424312204
943331620838803
1011120011220100
1135a7a74487942
1212b7171312370
136287c6a39423
142a62d619d0d6
151443cc629450
hexa1d14519484

11120011220100 has 144 divisors (see below), whose sum is σ = 33576308978688. Its totient is φ = 2836109189760.

The previous prime is 11120011220053. The next prime is 11120011220183. The reversal of 11120011220100 is 102211002111.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 69382257 + ... + 69542343.

It is an arithmetic number, because the mean of its divisors is an integer number (233168812352).

Almost surely, 211120011220100 is an apocalyptic number.

11120011220100 is a gapful number since it is divisible by the number (10) 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 11120011220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16788154489344).

11120011220100 is an abundant number, since it is smaller than the sum of its proper divisors (22456297758588).

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

11120011220100 is a wasteful number, since it uses less digits than its factorization.

11120011220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170194 (or 170187 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11120011220100 its reverse (102211002111), we get a palindrome (11222222222211).

The spelling of 11120011220100 in words is "eleven trillion, one hundred twenty billion, eleven million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 10067 20134 30201 40268 50335 60402 100670 120804 151005 160087 201340 231541 251675 302010 320174 463082 480261 503350 604020 640348 694623 755025 800435 926164 960522 1006700 1157705 1389246 1510050 1600870 1921044 2315410 2401305 2778492 3020100 3201740 3473115 3682001 4002175 4630820 4802610 5788525 6946230 7364002 8004350 9605220 11046003 11577050 12006525 13892460 14728004 16008700 17365575 18410005 22092006 23154100 24013050 34731150 36820010 44184012 48026100 55230015 69462300 73640020 92050025 110460030 184100050 220920060 276150075 368200100 552300150 1104600300 1611595829 3223191658 4834787487 6446383316 8057979145 9669574974 16115958290 19339149948 24173937435 32231916580 37066704067 40289895725 48347874870 74133408134 80579791450 96695749740 111200112201 120869687175 148266816268 161159582900 185333520335 222400224402 241739374350 370667040670 444800448804 483478748700 556000561005 741334081340 926667601675 1112001122010 1853335203350 2224002244020 2780002805025 3706670406700 5560005610050 11120011220100