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11111022212000 = 25535431511463
BaseRepresentation
bin1010000110101111110010…
…0010000011001110100000
31110100012111020112101221012
42201223330202003032200
52424020333141241000
635344155542520052
72224513326335564
oct241537442031640
943305436471835
1011111022212000
1135a4181414027
1212b5482a36028
136279c3637319
142a5ac24096a4
151440533be735
hexa1afc8833a0

11111022212000 has 96 divisors (see below), whose sum is σ = 27304861618944. Its totient is φ = 4443581856000.

The previous prime is 11111022211979. The next prime is 11111022212039. The reversal of 11111022212000 is 21222011111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21468269 + ... + 21979731.

It is an arithmetic number, because the mean of its divisors is an integer number (284425641864).

Almost surely, 211111022212000 is an apocalyptic number.

11111022212000 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 11111022212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13652430809472).

11111022212000 is an abundant number, since it is smaller than the sum of its proper divisors (16193839406944).

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

11111022212000 is an equidigital number, since it uses as much as digits as its factorization.

11111022212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516919 (or 516901 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11111022212000 its reverse (21222011111), we get a palindrome (11132244223111).

The spelling of 11111022212000 in words is "eleven trillion, one hundred eleven billion, twenty-two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 5431 10862 21724 27155 43448 54310 86896 108620 135775 173792 217240 271550 434480 511463 543100 678875 868960 1022926 1086200 1357750 2045852 2172400 2557315 2715500 4091704 4344800 5114630 5431000 8183408 10229260 10862000 12786575 16366816 20458520 21724000 25573150 40917040 51146300 63932875 81834080 102292600 127865750 204585200 255731500 409170400 511463000 1022926000 2045852000 2777755553 5555511106 11111022212 13888777765 22222044424 27777555530 44444088848 55555111060 69443888825 88888177696 111110222120 138887777650 222220444240 277775555300 347219444125 444440888480 555551110600 694438888250 1111102221200 1388877776500 2222204442400 2777755553000 5555511106000 11111022212000