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212210012000020 = 22541436018434827
BaseRepresentation
bin110000010000000011111110…
…011000100000111100010100
31000211101002010121100010220211
4300100003332120200330110
5210303322101033000040
62031155533401335204
762461444632015466
oct6020037630407424
91024332117303824
10212210012000020
116168684051a131
121b97387b797504
13915441a2ca0a8
143a5903b28c136
1519801093b28ea
hexc100fe620f14

212210012000020 has 48 divisors (see below), whose sum is σ = 467126837610048. Its totient is φ = 80887764061440.

The previous prime is 212210011999963. The next prime is 212210012000027. The reversal of 212210012000020 is 20000210012212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212210012000027) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3009182154 + ... + 3009252673.

It is an arithmetic number, because the mean of its divisors is an integer number (9731809116876).

Almost surely, 2212210012000020 is an apocalyptic number.

212210012000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210012000020 is an abundant number, since it is smaller than the sum of its proper divisors (254916825610028).

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

212210012000020 is a wasteful number, since it uses less digits than its factorization.

212210012000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6018434920 (or 6018434918 counting only the distinct ones).

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

Adding to 212210012000020 its reverse (20000210012212), we get a palindrome (232210222012232).

The spelling of 212210012000020 in words is "two hundred twelve trillion, two hundred ten billion, twelve million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 41 43 82 86 164 172 205 215 410 430 820 860 1763 3526 7052 8815 17630 35260 6018434827 12036869654 24073739308 30092174135 60184348270 120368696540 246755827907 258792697561 493511655814 517585395122 987023311628 1035170790244 1233779139535 1293963487805 2467558279070 2587926975610 4935116558140 5175853951220 10610500600001 21221001200002 42442002400004 53052503000005 106105006000010 212210012000020