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101649241 = 616612521
BaseRepresentation
bin1100000111100…
…00101101011001
321002021022112201
412003300231121
5202010233431
614030410201
72343001321
oct603605531
9232238481
10101649241
1152418641
122a060961
13180a03a5
14d700281
158dcd461
hex60f0b59

101649241 has 8 divisors (see below), whose sum is σ = 103512968. Its totient is φ = 99792000.

The previous prime is 101649211. The next prime is 101649253. The reversal of 101649241 is 142946101.

It can be written as a sum of positive squares in 4 ways, for example, as 1729225 + 99920016 = 1315^2 + 9996^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(101649241) divides (101649241-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 101649241 - 213 = 101641049 is a prime.

It is a deceptive number, since it divides R101649240.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101649211) 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 in 7 ways as a sum of consecutive naturals, for example, 39061 + ... + 41581.

It is an arithmetic number, because the mean of its divisors is an integer number (12939121).

It is a Poulet number, since it divides 2101649240-1.

Almost surely, 2101649241 is an apocalyptic number.

It is an amenable number.

101649241 is a deficient number, since it is larger than the sum of its proper divisors (1863727).

101649241 is an equidigital number, since it uses as much as digits as its factorization.

101649241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3243.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 101649241 is about 10082.1248256506. The cubic root of 101649241 is about 466.6966821397.

The spelling of 101649241 in words is "one hundred one million, six hundred forty-nine thousand, two hundred forty-one".

Divisors: 1 61 661 2521 40321 153781 1666381 101649241