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212014414003 = 78910931110039
BaseRepresentation
bin1100010101110100001…
…0110011100010110011
3202021020122112011010211
43011131002303202303
511433201142222003
6241221552404551
721213625533040
oct3053502634263
9667218464124
10212014414003
1181a07678277
123510b246757
1316cba45c6a2
14a3939b21c7
1557ad0e096d
hex315d0b38b3

212014414003 has 32 divisors (see below), whose sum is σ = 248092416000. Its totient is φ = 177446142720.

The previous prime is 212014413967. The next prime is 212014414021. The reversal of 212014414003 is 300414410212.

It is a happy number.

212014414003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-212014414003 is a prime.

It is a super-2 number, since 2×2120144140032 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212014414033) 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 31 ways as a sum of consecutive naturals, for example, 21114058 + ... + 21124096.

It is an arithmetic number, because the mean of its divisors is an integer number (7752888000).

Almost surely, 2212014414003 is an apocalyptic number.

212014414003 is a deficient number, since it is larger than the sum of its proper divisors (36078001997).

212014414003 is a wasteful number, since it uses less digits than its factorization.

212014414003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10555.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 212014414003 its reverse (300414410212), we get a palindrome (512428824215).

The spelling of 212014414003 in words is "two hundred twelve billion, fourteen million, four hundred fourteen thousand, three".

Divisors: 1 7 89 109 311 623 763 2177 9701 10039 27679 33899 67907 70273 193753 237293 893471 1094251 3017011 3122129 6254297 7659757 21119077 21854903 97388339 277869481 340312061 681718373 1945086367 2382184427 30287773429 212014414003