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101145065 = 5722931409
BaseRepresentation
bin1100000011101…
…01100111101001
321001022200221112
412001311213221
5201343120230
614011520105
72335501400
oct601654751
9231280845
10101145065
115210386a
1229a59035
1317c54a68
14d60c637
158d2dd95
hex60759e9

101145065 has 24 divisors (see below), whose sum is σ = 141772680. Its totient is φ = 69070848.

The previous prime is 101145061. The next prime is 101145089. The reversal of 101145065 is 560541101.

It can be written as a sum of positive squares in 4 ways, for example, as 6744409 + 94400656 = 2597^2 + 9716^2 .

It is not a de Polignac number, because 101145065 - 22 = 101145061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101145065.

It is not an unprimeable number, because it can be changed into a prime (101145061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71081 + ... + 72489.

It is an arithmetic number, because the mean of its divisors is an integer number (5907195).

Almost surely, 2101145065 is an apocalyptic number.

It is an amenable number.

101145065 is a deficient number, since it is larger than the sum of its proper divisors (40627615).

101145065 is a wasteful number, since it uses less digits than its factorization.

101145065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 101145065 is about 10057.0902849681. The cubic root of 101145065 is about 465.9238042144.

Adding to 101145065 its reverse (560541101), we get a palindrome (661686166).

The spelling of 101145065 in words is "one hundred one million, one hundred forty-five thousand, sixty-five".

Divisors: 1 5 7 35 49 245 293 1409 1465 2051 7045 9863 10255 14357 49315 69041 71785 345205 412837 2064185 2889859 14449295 20229013 101145065