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11120001000 = 2335318731979
BaseRepresentation
bin10100101101100110…
…11011111111101000
31001200222020120122220
422112303123333220
5140233210013000
65035232114040
7542364306663
oct122663337750
931628216586
1011120001000
114796a50379
1221a4095920
131082a51b64
14776bca6da
154513951a0
hex296cdbfe8

11120001000 has 128 divisors (see below), whose sum is σ = 34730467200. Its totient is φ = 2962252800.

The previous prime is 11120000993. The next prime is 11120001023. The reversal of 11120001000 is 10002111.

Adding to 11120001000 its reverse (10002111), we get a palindrome (11130003111).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11120001000.

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, 5618011 + ... + 5619989.

It is an arithmetic number, because the mean of its divisors is an integer number (271331775).

Almost surely, 211120001000 is an apocalyptic number.

11120001000 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 11120001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17365233600).

11120001000 is an abundant number, since it is smaller than the sum of its proper divisors (23610466200).

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

11120001000 is a wasteful number, since it uses less digits than its factorization.

11120001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The spelling of 11120001000 in words is "eleven billion, one hundred twenty million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1873 1979 3000 3746 3958 5619 5937 7492 7916 9365 9895 11238 11874 14984 15832 18730 19790 22476 23748 28095 29685 37460 39580 44952 46825 47496 49475 56190 59370 74920 79160 93650 98950 112380 118740 140475 148425 187300 197900 224760 234125 237480 247375 280950 296850 374600 395800 468250 494750 561900 593700 702375 742125 936500 989500 1123800 1187400 1404750 1484250 1873000 1979000 2809500 2968500 3706667 5619000 5937000 7413334 11120001 14826668 18533335 22240002 29653336 37066670 44480004 55600005 74133340 88960008 92666675 111200010 148266680 185333350 222400020 278000025 370666700 444800040 463333375 556000050 741333400 926666750 1112000100 1390000125 1853333500 2224000200 2780000250 3706667000 5560000500 11120001000