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11022222100000 = 2555131841391
BaseRepresentation
bin1010000001100100111110…
…1000100000011000100000
31110000201021121110022201011
42200121033220200120200
52421042002324200000
635235312224150304
72215220640003016
oct240311750403040
943021247408634
1011022222100000
11356a553032611
1212a021ba68394
1361c51129a557
142a169aa0c8b6
15141aa755a2ba
hexa064fa20620

11022222100000 has 144 divisors (see below), whose sum is σ = 27330343996032. Its totient is φ = 4375228000000.

The previous prime is 11022222099997. The next prime is 11022222100007. The reversal of 11022222100000 is 122222011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11022222100007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12679305 + ... + 13520695.

It is an arithmetic number, because the mean of its divisors is an integer number (189794055528).

Almost surely, 211022222100000 is an apocalyptic number.

11022222100000 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 11022222100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13665171998016).

11022222100000 is an abundant number, since it is smaller than the sum of its proper divisors (16308121896032).

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

11022222100000 is an frugal number, since it uses more digits than its factorization.

11022222100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841557 (or 841529 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11022222100000 its reverse (122222011), we get a palindrome (11022344322011).

The spelling of 11022222100000 in words is "eleven trillion, twenty-two billion, two hundred twenty-two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 131 160 200 250 262 400 500 524 625 655 800 1000 1048 1250 1310 2000 2096 2500 2620 3125 3275 4000 4192 5000 5240 6250 6550 10000 10480 12500 13100 16375 20000 20960 25000 26200 32750 50000 52400 65500 81875 100000 104800 131000 163750 262000 327500 409375 524000 655000 818750 841391 1310000 1637500 1682782 2620000 3275000 3365564 4206955 6550000 6731128 8413910 13100000 13462256 16827820 21034775 26924512 33655640 42069550 67311280 84139100 105173875 110222221 134622560 168278200 210347750 220444442 336556400 420695500 440888884 525869375 551111105 673112800 841391000 881777768 1051738750 1102222210 1682782000 1763555536 2103477500 2204444420 2629346875 2755555525 3365564000 3527111072 4206955000 4408888840 5258693750 5511111050 8413910000 8817777680 10517387500 11022222100 13777777625 16827820000 17635555360 21034775000 22044444200 27555555250 42069550000 44088888400 55111110500 68888888125 84139100000 88177776800 110222221000 137777776250 220444442000 275555552500 344444440625 440888884000 551111105000 688888881250 1102222210000 1377777762500 2204444420000 2755555525000 5511111050000 11022222100000