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11120011202000 = 2453172753118801
BaseRepresentation
bin1010000111010001010001…
…0100010100110111010000
31110101001200200220102001202
42201310110110110313100
52424142240331431000
635352243532050332
72225252146442531
oct241642424246720
943331620812052
1011120011202000
1135a7a74475288
1212b71713039a8
136287c6a3110c
142a62d6196688
151443cc623dd5
hexa1d14514dd0

11120011202000 has 160 divisors (see below), whose sum is σ = 28480426269984. Its totient is φ = 4184801280000.

The previous prime is 11120011201993. The next prime is 11120011202029. The reversal of 11120011202000 is 20211002111.

It can be written as a sum of positive squares in 16 ways, for example, as 5961625422736 + 5158385779264 = 2441644^2 + 2271208^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93542600 + ... + 93661400.

Almost surely, 211120011202000 is an apocalyptic number.

11120011202000 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 11120011202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14240213134992).

11120011202000 is an abundant number, since it is smaller than the sum of its proper divisors (17360415067984).

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

11120011202000 is a wasteful number, since it uses less digits than its factorization.

11120011202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121594 (or 121578 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11120011202000 its reverse (20211002111), we get a palindrome (11140222204111).

The spelling of 11120011202000 in words is "eleven trillion, one hundred twenty billion, eleven million, two hundred 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 2753 3400 4250 5506 6800 8500 11012 13765 17000 22024 27530 34000 44048 46801 55060 68825 93602 110120 118801 137650 187204 220240 234005 237602 275300 344125 374408 468010 475204 550600 594005 688250 748816 936020 950408 1101200 1170025 1188010 1376500 1872040 1900816 2019617 2340050 2376020 2753000 2970025 3744080 4039234 4680100 4752040 5506000 5850125 5940050 8078468 9360200 9504080 10098085 11700250 11880100 14850125 16156936 18720400 20196170 23400500 23760200 29700250 32313872 40392340 46801000 47520400 50490425 59400500 80784680 93602000 100980850 118801000 161569360 201961700 237602000 252452125 327059153 403923400 504904250 654118306 807846800 1009808500 1308236612 1635295765 2019617000 2616473224 3270591530 4039234000 5232946448 5560005601 6541183060 8176478825 11120011202 13082366120 16352957650 22240022404 26164732240 27800028005 32705915300 40882394125 44480044808 55600056010 65411830600 81764788250 88960089616 111200112020 130823661200 139000140025 163529576500 222400224040 278000280050 327059153000 444800448080 556000560100 654118306000 695000700125 1112001120200 1390001400250 2224002240400 2780002800500 5560005601000 11120011202000