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101640193 is a prime number
BaseRepresentation
bin1100000111011…
…10100000000001
321002020212010121
412003232200001
5202004441233
614030300241
72342633044
oct603564001
9232225117
10101640193
1152411866
122a057681
1318099235
14d6dac5b
158dca92d
hex60ee801

101640193 has 2 divisors, whose sum is σ = 101640194. Its totient is φ = 101640192.

The previous prime is 101640137. The next prime is 101640251. The reversal of 101640193 is 391046101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70358544 + 31281649 = 8388^2 + 5593^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101640193 is a prime.

It is not a weakly prime, because it can be changed into another prime (101640293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50820096 + 50820097.

It is an arithmetic number, because the mean of its divisors is an integer number (50820097).

Almost surely, 2101640193 is an apocalyptic number.

It is an amenable number.

101640193 is a deficient number, since it is larger than the sum of its proper divisors (1).

101640193 is an equidigital number, since it uses as much as digits as its factorization.

101640193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 101640193 is about 10081.6761007285. The cubic root of 101640193 is about 466.6828345306.

Adding to 101640193 its reverse (391046101), we get a palindrome (492686294).

It can be divided in two parts, 1016 and 40193, that added together give a square (41209 = 2032).

The spelling of 101640193 in words is "one hundred one million, six hundred forty thousand, one hundred ninety-three".