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10132020304 = 247201744851
BaseRepresentation
bin10010110111110101…
…00101110001010000
3222011010011221221021
421123322211301100
5131222244122204
64353220205224
7506036515540
oct113372456120
928133157837
1010132020304
11432a2968aa
121b69239814
13c561626b3
146c18cb320
153e478a154
hex25bea5c50

10132020304 has 40 divisors (see below), whose sum is σ = 22446811328. Its totient is φ = 4340044800.

The previous prime is 10132020299. The next prime is 10132020317. The reversal of 10132020304 is 40302023101.

It is a happy number.

10132020304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 203479 + ... + 248329.

Almost surely, 210132020304 is an apocalyptic number.

10132020304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10132020304 is an abundant number, since it is smaller than the sum of its proper divisors (12314791024).

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

10132020304 is a wasteful number, since it uses less digits than its factorization.

10132020304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46883 (or 46877 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10132020304 its reverse (40302023101), we get a palindrome (50434043405).

The spelling of 10132020304 in words is "ten billion, one hundred thirty-two million, twenty thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 2017 4034 8068 14119 16136 28238 32272 44851 56476 89702 112952 179404 225904 313957 358808 627914 717616 1255828 2511656 5023312 90464467 180928934 361857868 633251269 723715736 1266502538 1447431472 2533005076 5066010152 10132020304