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212034431142 = 23217903657973
BaseRepresentation
bin1100010101111000111…
…1001010100010100110
3202021022001012010111100
43011132033022202212
511433221303244032
6241223545420530
721214260633042
oct3053617124246
9667261163440
10212034431142
1181a179aa466
1235115a9a746
1316cc164a851
14a396503022
1557aec4697c
hex315e3ca8a6

212034431142 has 24 divisors (see below), whose sum is σ = 459434293344. Its totient is φ = 70674088464.

The previous prime is 212034431123. The next prime is 212034431143. The reversal of 212034431142 is 241134430212.

212034431142 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 344 + 311 + 4 + 2 = 666.

212034431142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212034431143) 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 11 ways as a sum of consecutive naturals, for example, 6733 + ... + 651240.

It is an arithmetic number, because the mean of its divisors is an integer number (19143095556).

Almost surely, 2212034431142 is an apocalyptic number.

212034431142 is an abundant number, since it is smaller than the sum of its proper divisors (247399862202).

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

212034431142 is a wasteful number, since it uses less digits than its factorization.

212034431142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675884 (or 675881 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 212034431142 its reverse (241134430212), we get a palindrome (453168861354).

The spelling of 212034431142 in words is "two hundred twelve billion, thirty-four million, four hundred thirty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 17903 35806 53709 107418 161127 322254 657973 1315946 1973919 3947838 5921757 11843514 11779690619 23559381238 35339071857 70678143714 106017215571 212034431142