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212432031 = 3371123979
BaseRepresentation
bin11001010100101…
…11010010011111
3112210201122222000
430222113102133
5413340311111
633025053343
75156433240
oct1452272237
9483648860
10212432031
11a9a04369
125b187253
133501ab36
14202dacc7
15139b2c56
hexca9749f

212432031 has 16 divisors (see below), whose sum is σ = 359673600. Its totient is φ = 121389624.

The previous prime is 212432021. The next prime is 212432039. The reversal of 212432031 is 130234212.

It is not a de Polignac number, because 212432031 - 210 = 212431007 is a prime.

It is a super-2 number, since 2×2124320312 = 90254735589569922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212431995 and 212432013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212432039) 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, 561801 + ... + 562178.

It is an arithmetic number, because the mean of its divisors is an integer number (22479600).

Almost surely, 2212432031 is an apocalyptic number.

212432031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212432031 is a deficient number, since it is larger than the sum of its proper divisors (147241569).

212432031 is a wasteful number, since it uses less digits than its factorization.

212432031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123995 (or 1123989 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 212432031 is about 14575.0482331963. The cubic root of 212432031 is about 596.6779657602.

Adding to 212432031 its reverse (130234212), we get a palindrome (342666243).

The spelling of 212432031 in words is "two hundred twelve million, four hundred thirty-two thousand, thirty-one".

Divisors: 1 3 7 9 21 27 63 189 1123979 3371937 7867853 10115811 23603559 30347433 70810677 212432031