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102014241 = 3753151607
BaseRepresentation
bin1100001010010…
…01110100100001
321002221212020020
412011021310201
5202103423431
614042304053
72346051420
oct605116441
9232855206
10102014241
115264789a
122a1b8029
131819a574
14d7972b7
158e51696
hex6149d21

102014241 has 32 divisors (see below), whose sum is σ = 159694848. Its totient is φ = 56721600.

The previous prime is 102014239. The next prime is 102014251. The reversal of 102014241 is 142410201.

It is not a de Polignac number, because 102014241 - 21 = 102014239 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102014241.

It is not an unprimeable number, because it can be changed into a prime (102014251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167760 + ... + 168366.

It is an arithmetic number, because the mean of its divisors is an integer number (4990464).

Almost surely, 2102014241 is an apocalyptic number.

It is an amenable number.

102014241 is a deficient number, since it is larger than the sum of its proper divisors (57680607).

102014241 is a wasteful number, since it uses less digits than its factorization.

102014241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 102014241 is about 10100.2099483130. The cubic root of 102014241 is about 467.2546164751.

Adding to 102014241 its reverse (142410201), we get a palindrome (244424442).

The spelling of 102014241 in words is "one hundred two million, fourteen thousand, two hundred forty-one".

Divisors: 1 3 7 21 53 151 159 371 453 607 1057 1113 1821 3171 4249 8003 12747 24009 32171 56021 91657 96513 168063 225197 274971 641599 675591 1924797 4857821 14573463 34004747 102014241