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212432224003032 = 233114726365097283
BaseRepresentation
bin110000010011010010111011…
…010000000010001111011000
31000212011022200221102111100110
4300103102323100002033120
5210320442143321044112
62031450003320004320
762513502354616665
oct6023227320021730
91025138627374313
10212432224003032
1161762000397a10
121b9aa9560006a0
13916c3713689c7
143a65abb338a6c
151985cb289113c
hexc134bb4023d8

212432224003032 has 128 divisors (see below), whose sum is σ = 593937203650560. Its totient is φ = 62764195413120.

The previous prime is 212432224003031. The next prime is 212432224003049. The reversal of 212432224003032 is 230300422234212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212432224003031) 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, 29285338 + ... + 35811945.

It is an arithmetic number, because the mean of its divisors is an integer number (4640134403520).

Almost surely, 2212432224003032 is an apocalyptic number.

212432224003032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212432224003032 is an abundant number, since it is smaller than the sum of its proper divisors (381504979647528).

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

212432224003032 is a wasteful number, since it uses less digits than its factorization.

212432224003032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65097613 (or 65097609 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 212432224003032 its reverse (230300422234212), we get a palindrome (442732646237244).

The spelling of 212432224003032 in words is "two hundred twelve trillion, four hundred thirty-two billion, two hundred twenty-four million, three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 263 264 282 376 517 526 564 789 1034 1052 1128 1551 1578 2068 2104 2893 3102 3156 4136 5786 6204 6312 8679 11572 12361 12408 17358 23144 24722 34716 37083 49444 69432 74166 98888 135971 148332 271942 296664 407913 543884 815826 1087768 1631652 3263304 65097283 130194566 195291849 260389132 390583698 520778264 716070113 781167396 1432140226 1562334792 2148210339 2864280452 3059572301 4296420678 5728560904 6119144602 8592841356 9178716903 12238289204 17120585429 17185682712 18357433806 24476578408 33655295311 34241170858 36714867612 51361756287 67310590622 68482341716 73429735224 100965885933 102723512574 134621181244 136964683432 188326439719 201931771866 205447025148 269242362488 376652879438 403863543732 410894050296 564979319157 753305758876 804667515163 807727087464 1129958638314 1506611517752 1609335030326 2259917276628 2414002545489 3218670060652 4519834553256 4828005090978 6437340121304 8851342666793 9656010181956 17702685333586 19312020363912 26554028000379 35405370667172 53108056000758 70810741334344 106216112001516 212432224003032