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106212131 is a prime number
BaseRepresentation
bin1100101010010…
…10101100100011
321101212010122122
412111022230203
5204142242011
614312254455
72426534234
oct625125443
9241763578
10106212131
1154a54823
122b6a142b
131900a21c
141016b08b
1594d03db
hex654ab23

106212131 has 2 divisors, whose sum is σ = 106212132. Its totient is φ = 106212130.

The previous prime is 106212121. The next prime is 106212133. The reversal of 106212131 is 131212601.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106212131 is a prime.

It is a super-2 number, since 2×1062121312 = 22562033543122322, which contains 22 as substring.

Together with 106212133, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106212133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53106065 + 53106066.

It is an arithmetic number, because the mean of its divisors is an integer number (53106066).

Almost surely, 2106212131 is an apocalyptic number.

106212131 is a deficient number, since it is larger than the sum of its proper divisors (1).

106212131 is an equidigital number, since it uses as much as digits as its factorization.

106212131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 106212131 is about 10305.9269840223. The cubic root of 106212131 is about 473.5778419443.

Adding to 106212131 its reverse (131212601), we get a palindrome (237424732).

The spelling of 106212131 in words is "one hundred six million, two hundred twelve thousand, one hundred thirty-one".