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10103982032 = 241989373447
BaseRepresentation
bin10010110100011111…
…01000011111010000
3222002011102110122202
421122033220133100
5131143104411112
64350335222332
7505246300364
oct113217503720
928064373582
1010103982032
114315486281
121b5b9779a8
13c503c65c1
146bbcad2a4
153e209c6c2
hex25a3e87d0

10103982032 has 40 divisors (see below), whose sum is σ = 20838398400. Its totient is φ = 4732307712.

The previous prime is 10103982023. The next prime is 10103982037. The reversal of 10103982032 is 23028930101.

10103982032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10103981986 and 10103982004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103982037) 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 7 ways as a sum of consecutive naturals, for example, 159668 + ... + 213779.

It is an arithmetic number, because the mean of its divisors is an integer number (520959960).

Almost surely, 210103982032 is an apocalyptic number.

It is an amenable number.

10103982032 is an abundant number, since it is smaller than the sum of its proper divisors (10734416368).

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

10103982032 is a wasteful number, since it uses less digits than its factorization.

10103982032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373563 (or 373557 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 10103982032 in words is "ten billion, one hundred three million, nine hundred eighty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 19 38 76 89 152 178 304 356 712 1424 1691 3382 6764 13528 27056 373447 746894 1493788 2987576 5975152 7095493 14190986 28381972 33236783 56763944 66473566 113527888 132947132 265894264 531788528 631498877 1262997754 2525995508 5051991016 10103982032