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101540213 is a prime number
BaseRepresentation
bin1100000110101…
…10000101110101
321002001202222122
412003112011311
5201443241323
614024205325
72342035415
oct603260565
9232052878
10101540213
1152353735
122a009845
1318062888
14d6b2645
158daaec8
hex60d6175

101540213 has 2 divisors, whose sum is σ = 101540214. Its totient is φ = 101540212.

The previous prime is 101540207. The next prime is 101540227. The reversal of 101540213 is 312045101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75916369 + 25623844 = 8713^2 + 5062^2 .

It is a cyclic number.

It is not a de Polignac number, because 101540213 - 28 = 101539957 is a prime.

It is a super-3 number, since 3×1015402133 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101540191 and 101540200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101540233) 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, 50770106 + 50770107.

It is an arithmetic number, because the mean of its divisors is an integer number (50770107).

Almost surely, 2101540213 is an apocalyptic number.

It is an amenable number.

101540213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101540213 is an equidigital number, since it uses as much as digits as its factorization.

101540213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 101540213 is about 10076.7163798531. The cubic root of 101540213 is about 466.5297643204.

Adding to 101540213 its reverse (312045101), we get a palindrome (413585314).

The spelling of 101540213 in words is "one hundred one million, five hundred forty thousand, two hundred thirteen".