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212312012012032 = 2910113273093943
BaseRepresentation
bin110000010001100010111110…
…000011101011101000000000
31000211201211102011100121212111
4300101202332003223220000
5210312010000033341112
62031314443011505104
762502015402556012
oct6021427603535000
91024654364317774
10212312012012032
11617160228aa919
121b98b5a72b8194
139160c2428949a
143a5dd55bac1b2
151982ac8eb35a7
hexc118be0eba00

212312012012032 has 80 divisors (see below), whose sum is σ = 428732423868672. Its totient is φ = 105025717555200.

The previous prime is 212312012011997. The next prime is 212312012012099. The reversal of 212312012012032 is 230210210213212.

It is a junction number, because it is equal to n+sod(n) for n = 212312012011994 and 212312012012012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67074853 + ... + 70168795.

Almost surely, 2212312012012032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212312012012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214366211934336).

212312012012032 is an abundant number, since it is smaller than the sum of its proper divisors (216420411856640).

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

212312012012032 is a wasteful number, since it uses less digits than its factorization.

212312012012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095389 (or 3095373 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 212312012012032 its reverse (230210210213212), we get a palindrome (442522222225244).

The spelling of 212312012012032 in words is "two hundred twelve trillion, three hundred twelve billion, twelve million, twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 808 1327 1616 2654 3232 5308 6464 10616 12928 21232 25856 42464 51712 84928 134027 169856 268054 339712 536108 679424 1072216 2144432 3093943 4288864 6187886 8577728 12375772 17155456 24751544 34310912 49503088 68621824 99006176 198012352 312488243 396024704 624976486 792049408 1249952972 1584098816 2499905944 4105662361 4999811888 8211324722 9999623776 16422649444 19999247552 32845298888 39998495104 65690597776 79996990208 131381195552 159993980416 262762391104 414671898461 525524782208 829343796922 1051049564416 1658687593844 2102099128832 3317375187688 6634750375376 13269500750752 26539001501504 53078003003008 106156006006016 212312012012032