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11022012211000 = 235373150792683
BaseRepresentation
bin1010000001100100001100…
…0111110101111100111000
31110000200201222111212010111
42200121003013311330320
52421041040111223000
635235235325354104
72215212510660520
oct240310307657470
943020658455114
1011022012211000
11356a45560592a
1212a0181708934
1361c4a996008b
142a167abb4680
15141a93deacba
hexa06431f5f38

11022012211000 has 128 divisors (see below), whose sum is σ = 30426849423360. Its totient is φ = 3657073104000.

The previous prime is 11022012210983. The next prime is 11022012211009. The reversal of 11022012211000 is 11221022011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022012211009) 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, 25179342 + ... + 25613341.

It is an arithmetic number, because the mean of its divisors is an integer number (237709761120).

Almost surely, 211022012211000 is an apocalyptic number.

11022012211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11022012211000 is an abundant number, since it is smaller than the sum of its proper divisors (19404837212360).

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

11022012211000 is a wasteful number, since it uses less digits than its factorization.

11022012211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50792742 (or 50792728 counting only the distinct ones).

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

Adding to 11022012211000 its reverse (11221022011), we get a palindrome (11033233233011).

The spelling of 11022012211000 in words is "eleven trillion, twenty-two billion, twelve million, two hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 50 56 62 70 100 124 125 140 155 175 200 217 248 250 280 310 350 434 500 620 700 775 868 875 1000 1085 1240 1400 1550 1736 1750 2170 3100 3500 3875 4340 5425 6200 7000 7750 8680 10850 15500 21700 27125 31000 43400 54250 108500 217000 50792683 101585366 203170732 253963415 355548781 406341464 507926830 711097562 1015853660 1269817075 1422195124 1574573173 1777743905 2031707320 2539634150 2844390248 3149146346 3555487810 5079268300 6298292692 6349085375 7110975620 7872865865 8888719525 10158536600 11022012211 12596585384 12698170750 14221951240 15745731730 17777439050 22044024422 25396341500 31491463460 35554878100 39364329325 44088048844 44443597625 50792683000 55110061055 62982926920 71109756200 78728658650 88176097688 88887195250 110220122110 157457317300 177774390500 196821646625 220440244220 275550305275 314914634600 355548781000 393643293250 440880488440 551100610550 787286586500 1102201221100 1377751526375 1574573173000 2204402442200 2755503052750 5511006105500 11022012211000