Search a number
-
+
11122201000 = 235319678737
BaseRepresentation
bin10100101101110111…
…10101000110101000
31001201010101100111101
422112323311012220
5140234240413000
65035351211144
7542422101661
oct122673650650
931633340441
1011122201000
114798213259
1221a4976ab4
131083342331
14777200368
1545167be6a
hex296ef51a8

11122201000 has 128 divisors (see below), whose sum is σ = 27807811200. Its totient is φ = 4151347200.

The previous prime is 11122200961. The next prime is 11122201003. The reversal of 11122201000 is 10222111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11122201003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1268632 + ... + 1277368.

It is an arithmetic number, because the mean of its divisors is an integer number (217248525).

Almost surely, 211122201000 is an apocalyptic number.

11122201000 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 11122201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13903905600).

11122201000 is an abundant number, since it is smaller than the sum of its proper divisors (16685610200).

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

11122201000 is a wasteful number, since it uses less digits than its factorization.

11122201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8844 (or 8830 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11122201000 its reverse (10222111), we get a palindrome (11132423111).

The spelling of 11122201000 in words is "eleven billion, one hundred twenty-two million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 67 76 95 100 125 134 152 190 200 250 268 335 380 475 500 536 670 760 950 1000 1273 1340 1675 1900 2375 2546 2680 3350 3800 4750 5092 6365 6700 8375 8737 9500 10184 12730 13400 16750 17474 19000 25460 31825 33500 34948 43685 50920 63650 67000 69896 87370 127300 159125 166003 174740 218425 254600 318250 332006 349480 436850 585379 636500 664012 830015 873700 1092125 1170758 1273000 1328024 1660030 1747400 2184250 2341516 2926895 3320060 4150075 4368500 4683032 5853790 6640120 8300150 8737000 11122201 11707580 14634475 16600300 20750375 22244402 23415160 29268950 33200600 41500750 44488804 55611005 58537900 73172375 83001500 88977608 111222010 117075800 146344750 166003000 222444020 278055025 292689500 444888040 556110050 585379000 1112220100 1390275125 2224440200 2780550250 5561100500 11122201000