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212321010301000 = 23536713124190613
BaseRepresentation
bin110000010001101011010110…
…011001011011100001001000
31000211202200122021020001210021
4300101223112121123201020
5210312131412114113000
62031322531532230224
762502454365012436
oct6021532631334110
91024680567201707
10212321010301000
1161719920132577
121b99129890b374
139161a2958aa23
143a6056ac99d56
151982e53e5311a
hexc11ad665b848

212321010301000 has 128 divisors (see below), whose sum is σ = 508095785957760. Its totient is φ = 83022180384000.

The previous prime is 212321010300937. The next prime is 212321010301031. The reversal of 212321010301000 is 103010123212.

It is a super-2 number, since 2×2123210103010002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3318307 + ... + 20872306.

It is an arithmetic number, because the mean of its divisors is an integer number (3969498327795).

Almost surely, 2212321010301000 is an apocalyptic number.

212321010301000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212321010301000 is an abundant number, since it is smaller than the sum of its proper divisors (295774775656760).

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

212321010301000 is a wasteful number, since it uses less digits than its factorization.

212321010301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24190832 (or 24190818 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 212321010301000 its reverse (103010123212), we get a palindrome (212424020424212).

The spelling of 212321010301000 in words is "two hundred twelve trillion, three hundred twenty-one billion, ten million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 131 134 200 250 262 268 335 500 524 536 655 670 1000 1048 1310 1340 1675 2620 2680 3275 3350 5240 6550 6700 8375 8777 13100 13400 16375 16750 17554 26200 32750 33500 35108 43885 65500 67000 70216 87770 131000 175540 219425 351080 438850 877700 1097125 1755400 2194250 4388500 8777000 24190613 48381226 96762452 120953065 193524904 241906130 483812260 604765325 967624520 1209530650 1620771071 2419061300 3023826625 3168970303 3241542142 4838122600 6047653250 6337940606 6483084284 8103855355 12095306500 12675881212 12966168568 15844851515 16207710710 24190613000 25351762424 31689703030 32415421420 40519276775 63379406060 64830842840 79224257575 81038553550 126758812120 158448515150 162077107100 202596383875 212321010301 316897030300 324154214200 396121287875 405192767750 424642020602 633794060600 792242575750 810385535500 849284041204 1061605051505 1584485151500 1620771071000 1698568082408 2123210103010 3168970303000 4246420206020 5308025257525 8492840412040 10616050515050 21232101030100 26540126287625 42464202060200 53080252575250 106160505150500 212321010301000