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11221200221000 = 2353711145729873
BaseRepresentation
bin1010001101001010001110…
…1001110011001101001000
31110201201212201220011202012
42203102203221303031020
52432322004224033000
635510540451555052
72235463542062660
oct243224351631510
943651781804665
1011221200221000
11363697aa96a10
1213128b12bba88
1363520198baa3
142ab1750c91a0
15146d50e2a735
hexa34a3a73348

11221200221000 has 128 divisors (see below), whose sum is σ = 32736758895360. Its totient is φ = 3497516928000.

The previous prime is 11221200220981. The next prime is 11221200221003. The reversal of 11221200221000 is 12200212211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (11221200221003) 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, 72787937 + ... + 72941936.

It is an arithmetic number, because the mean of its divisors is an integer number (255755928870).

Almost surely, 211221200221000 is an apocalyptic number.

11221200221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221200221000 is an abundant number, since it is smaller than the sum of its proper divisors (21515558674360).

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

11221200221000 is a wasteful number, since it uses less digits than its factorization.

11221200221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145729912 (or 145729898 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11221200221000 its reverse (12200212211), we get a palindrome (11233400433211).

The spelling of 11221200221000 in words is "eleven trillion, two hundred twenty-one billion, two hundred million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1100 1375 1400 1540 1750 1925 2200 2750 3080 3500 3850 5500 7000 7700 9625 11000 15400 19250 38500 77000 145729873 291459746 582919492 728649365 1020109111 1165838984 1457298730 1603028603 2040218222 2914597460 3206057206 3643246825 4080436444 5100545555 5829194920 6412114412 7286493650 8015143015 8160872888 10201091110 11221200221 12824228824 14572987300 16030286030 18216234125 20402182220 22442400442 25502727775 29145974600 32060572060 36432468250 40075715075 40804364440 44884800884 51005455550 56106001105 64121144120 72864936500 80151430150 89769601768 102010911100 112212002210 127513638875 145729873000 160302860300 200378575375 204021822200 224424004420 255027277750 280530005525 320605720600 400757150750 448848008840 510054555500 561060011050 801514301500 1020109111000 1122120022100 1402650027625 1603028603000 2244240044200 2805300055250 5610600110500 11221200221000