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10010132113 = 45769131699
BaseRepresentation
bin10010101001010011…
…00111111010010001
3221211121211101202211
421110221213322101
5131000043211423
64333143512121
7503026501432
oct112451477221
927747741684
1010010132113
114277505463
121b34458641
13c36b271c7
146ad63d489
153d8c1010d
hex254a67e91

10010132113 has 8 divisors (see below), whose sum is σ = 10046871200. Its totient is φ = 9973458720.

The previous prime is 10010132023. The next prime is 10010132129. The reversal of 10010132113 is 31123101001.

10010132113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10010132113 - 221 = 10008034961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010132093 and 10010132102.

It is not an unprimeable number, because it can be changed into a prime (10010132413) 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, 299938 + ... + 331636.

It is an arithmetic number, because the mean of its divisors is an integer number (1255858900).

Almost surely, 210010132113 is an apocalyptic number.

It is an amenable number.

10010132113 is a deficient number, since it is larger than the sum of its proper divisors (36739087).

10010132113 is an equidigital number, since it uses as much as digits as its factorization.

10010132113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32847.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10010132113 its reverse (31123101001), we get a palindrome (41133233114).

The spelling of 10010132113 in words is "ten billion, ten million, one hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 457 691 31699 315787 14486443 21904009 10010132113