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10212211002012 = 2231759848472167
BaseRepresentation
bin1001010010011011011100…
…1101011000101010011100
31100011021111112200010000120
42110212313031120222130
52314304102004031022
633415231443154540
72102544052164255
oct224466715305234
940137445603016
1010212211002012
113287a79973818
12118b240975a50
13591013249176
142743b8c75b2c
1512a99a416d5c
hex949b7358a9c

10212211002012 has 48 divisors (see below), whose sum is σ = 25657798360320. Its totient is φ = 3149528680192.

The previous prime is 10212211002011. The next prime is 10212211002047. The reversal of 10212211002012 is 21020011221201.

10212211002012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102122110020122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10212211001982 and 10212211002000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212211002011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424224048 + ... + 424248119.

It is an arithmetic number, because the mean of its divisors is an integer number (534537465840).

Almost surely, 210212211002012 is an apocalyptic number.

10212211002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10212211002012 is an abundant number, since it is smaller than the sum of its proper divisors (15445587358308).

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

10212211002012 is a wasteful number, since it uses less digits than its factorization.

10212211002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848472250 (or 848472248 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10212211002012 its reverse (21020011221201), we get a palindrome (31232222223213).

The spelling of 10212211002012 in words is "ten trillion, two hundred twelve billion, two hundred eleven million, two thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 59 68 102 118 177 204 236 354 708 1003 2006 3009 4012 6018 12036 848472167 1696944334 2545416501 3393888668 5090833002 10181666004 14424026839 28848053678 43272080517 50059857853 57696107356 86544161034 100119715706 150179573559 173088322068 200239431412 300359147118 600718294236 851017583501 1702035167002 2553052750503 3404070334004 5106105501006 10212211002012