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102102144 = 273265891
BaseRepresentation
bin1100001010111…
…11010010000000
321010010022210220
412011133102000
5202114232034
614044223040
72346565614
oct605372200
9233108726
10102102144
11526a7941
122a23aa80
13181cb591
14d7bb344
158e6c749
hex615f480

102102144 has 32 divisors (see below), whose sum is σ = 271209840. Its totient is φ = 34033920.

The previous prime is 102102139. The next prime is 102102157. The reversal of 102102144 is 441201201.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 132562 + ... + 133329.

Almost surely, 2102102144 is an apocalyptic number.

It is an amenable number.

102102144 is an abundant number, since it is smaller than the sum of its proper divisors (169107696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102102144 is an equidigital number, since it uses as much as digits as its factorization.

102102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265908 (or 265896 counting only the distinct ones).

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

The square root of 102102144 is about 10104.5605545219. The cubic root of 102102144 is about 467.3887849683.

Adding to 102102144 its reverse (441201201), we get a palindrome (543303345).

The spelling of 102102144 in words is "one hundred two million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 265891 531782 797673 1063564 1595346 2127128 3190692 4254256 6381384 8508512 12762768 17017024 25525536 34034048 51051072 102102144