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107101213 is a prime number
BaseRepresentation
bin1100110001000…
…11110000011101
321110112022020121
412120203300131
5204404214323
614343314541
72440226302
oct630436035
9243468217
10107101213
11555017aa
122ba4ba51
131925bacb
141031d0a9
159608a5d
hex6623c1d

107101213 has 2 divisors, whose sum is σ = 107101214. Its totient is φ = 107101212.

The previous prime is 107101201. The next prime is 107101223. The reversal of 107101213 is 312101701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107060409 + 40804 = 10347^2 + 202^2 .

It is an emirp because it is prime and its reverse (312101701) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-107101213 is a prime.

It is a super-2 number, since 2×1071012132 = 22941339652142738, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107101223) 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, 53550606 + 53550607.

It is an arithmetic number, because the mean of its divisors is an integer number (53550607).

Almost surely, 2107101213 is an apocalyptic number.

It is an amenable number.

107101213 is a deficient number, since it is larger than the sum of its proper divisors (1).

107101213 is an equidigital number, since it uses as much as digits as its factorization.

107101213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 107101213 is about 10348.9715914191. The cubic root of 107101213 is about 474.8955825882.

Adding to 107101213 its reverse (312101701), we get a palindrome (419202914).

The spelling of 107101213 in words is "one hundred seven million, one hundred one thousand, two hundred thirteen".