Search a number
-
+
11221100212000 = 25537400753579
BaseRepresentation
bin1010001101001001110110…
…1100010010111100100000
31110201201121202201012012011
42203102131230102330200
52432321303123241000
635510522520242304
72235461216032360
oct243223554227440
943651552635164
1011221100212000
113636929599748
121312883910394
136351b7044173
142ab165ad49a0
15146d472732ba
hexa349db12f20

11221100212000 has 96 divisors (see below), whose sum is σ = 31508849473920. Its totient is φ = 3847234348800.

The previous prime is 11221100211917. The next prime is 11221100212009. The reversal of 11221100212000 is 21200112211.

It is not an unprimeable number, because it can be changed into a prime (11221100212009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200348790 + ... + 200404789.

It is an arithmetic number, because the mean of its divisors is an integer number (328217182020).

Almost surely, 211221100212000 is an apocalyptic number.

11221100212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221100212000 is an abundant number, since it is smaller than the sum of its proper divisors (20287749261920).

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

11221100212000 is an equidigital number, since it uses as much as digits as its factorization.

11221100212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400753611 (or 400753593 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11221100212000 its reverse (21200112211), we get a palindrome (11242300324211).

The spelling of 11221100212000 in words is "eleven trillion, two hundred twenty-one billion, one hundred million, two hundred twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 400753579 801507158 1603014316 2003767895 2805275053 3206028632 4007535790 5610550106 6412057264 8015071580 10018839475 11221100212 12824114528 14026375265 16030143160 20037678950 22442200424 28052750530 32060286320 40075357900 44884400848 50094197375 56105501060 64120572640 70131876325 80150715800 89768801696 100188394750 112211002120 140263752650 160301431600 200376789500 224422004240 280527505300 320602863200 350659381625 400753579000 448844008480 561055010600 701318763250 801507158000 1122110021200 1402637526500 1603014316000 2244220042400 2805275053000 5610550106000 11221100212000