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102012144 = 24313163481
BaseRepresentation
bin1100001010010…
…01010011110000
321002221202100120
412011021103300
5202103342034
614042250240
72346042333
oct605112360
9232852316
10102012144
1152646263
122a1b6980
1318199620
14d79661a
158e50c49
hex61494f0

102012144 has 40 divisors (see below), whose sum is σ = 283804752. Its totient is φ = 31388160.

The previous prime is 102012133. The next prime is 102012179. The reversal of 102012144 is 441210201.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 81117 + ... + 82364.

Almost surely, 2102012144 is an apocalyptic number.

It is an amenable number.

102012144 is an abundant number, since it is smaller than the sum of its proper divisors (181792608).

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

102012144 is a wasteful number, since it uses less digits than its factorization.

102012144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163505 (or 163499 counting only the distinct ones).

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

The square root of 102012144 is about 10100.1061380562. The cubic root of 102012144 is about 467.2514148317.

Adding to 102012144 its reverse (441210201), we get a palindrome (543222345).

The spelling of 102012144 in words is "one hundred two million, twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 163481 326962 490443 653924 980886 1307848 1961772 2125253 2615696 3923544 4250506 6375759 7847088 8501012 12751518 17002024 25503036 34004048 51006072 102012144