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10031032016 = 24626939501
BaseRepresentation
bin10010101011110010…
…10110011011010000
3221220002011020001022
421111321112123100
5131020421011031
64335211455012
7503402236205
oct112571263320
927802136038
1010031032016
11428828a905
121b3b457468
13c3b264105
146b231dcac
153da98c97b
hex255e566d0

10031032016 has 10 divisors (see below), whose sum is σ = 19435124562. Its totient is φ = 5015516000.

The previous prime is 10031032013. The next prime is 10031032057. The reversal of 10031032016 is 61023013001.

10031032016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7430440000 + 2600592016 = 86200^2 + 50996^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10031031985 and 10031032003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031032013) 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 as a sum of consecutive naturals, namely, 313469735 + ... + 313469766.

Almost surely, 210031032016 is an apocalyptic number.

10031032016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10031032016 is a deficient number, since it is larger than the sum of its proper divisors (9404092546).

10031032016 is an equidigital number, since it uses as much as digits as its factorization.

10031032016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626939509 (or 626939503 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10031032016 its reverse (61023013001), we get a palindrome (71054045017).

The spelling of 10031032016 in words is "ten billion, thirty-one million, thirty-two thousand, sixteen".

Divisors: 1 2 4 8 16 626939501 1253879002 2507758004 5015516008 10031032016