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95417101 = 1331594013
BaseRepresentation
bin1011010111111…
…11001100001101
320122112200122201
411223333030031
5143411321401
613245041501
72236013653
oct553771415
9218480581
1095417101
114995130a
1227b56291
13169ca830
14c95add3
15859bb01
hex5aff30d

95417101 has 16 divisors (see below), whose sum is σ = 107896320. Its totient is φ = 83770560.

The previous prime is 95417099. The next prime is 95417123. The reversal of 95417101 is 10171459.

It is not a de Polignac number, because 95417101 - 21 = 95417099 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 95417101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95417171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21771 + ... + 25783.

It is an arithmetic number, because the mean of its divisors is an integer number (6743520).

Almost surely, 295417101 is an apocalyptic number.

It is an amenable number.

95417101 is a deficient number, since it is larger than the sum of its proper divisors (12479219).

95417101 is a wasteful number, since it uses less digits than its factorization.

95417101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116.

The product of its (nonzero) digits is 1260, while the sum is 28.

The square root of 95417101 is about 9768.1677401650. The cubic root of 95417101 is about 456.9570750062.

The spelling of 95417101 in words is "ninety-five million, four hundred seventeen thousand, one hundred one".

Divisors: 1 13 31 59 403 767 1829 4013 23777 52169 124403 236767 1617239 3077971 7339777 95417101