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106301353 is a prime number
BaseRepresentation
bin1100101011000…
…00011110101001
321102000200001011
412111200132221
5204203120403
614314223521
72430355324
oct625403651
9242020034
10106301353
1155005864
122b724ba1
131903ba12
14101917bb
1594eba6d
hex65607a9

106301353 has 2 divisors, whose sum is σ = 106301354. Its totient is φ = 106301352.

The previous prime is 106301347. The next prime is 106301369. The reversal of 106301353 is 353103601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67699984 + 38601369 = 8228^2 + 6213^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106301353 is a prime.

It is a super-2 number, since 2×1063013532 = 22599955299261218, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106301053) 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, 53150676 + 53150677.

It is an arithmetic number, because the mean of its divisors is an integer number (53150677).

Almost surely, 2106301353 is an apocalyptic number.

It is an amenable number.

106301353 is a deficient number, since it is larger than the sum of its proper divisors (1).

106301353 is an equidigital number, since it uses as much as digits as its factorization.

106301353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 106301353 is about 10310.2547495200. The cubic root of 106301353 is about 473.7104122883.

Adding to 106301353 its reverse (353103601), we get a palindrome (459404954).

The spelling of 106301353 in words is "one hundred six million, three hundred one thousand, three hundred fifty-three".