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10032133013 = 77643187513
BaseRepresentation
bin10010101011111011…
…00011001110010101
3221220011020011022222
421111331203032111
5131021211224023
64335251232125
7503414503130
oct112575431625
927804204288
1010032133013
114288972021
121b3b8a8645
13c3b55b2a6
146b2529217
153dab08cc8
hex255f63395

10032133013 has 8 divisors (see below), whose sum is σ = 11466856128. Its totient is φ = 8597800224.

The previous prime is 10032133003. The next prime is 10032133049. The reversal of 10032133013 is 31033123001.

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 10032133013 - 212 = 10032128917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10032132982 and 10032133000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032133003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40256 + ... + 147257.

It is an arithmetic number, because the mean of its divisors is an integer number (1433357016).

Almost surely, 210032133013 is an apocalyptic number.

It is an amenable number.

10032133013 is a deficient number, since it is larger than the sum of its proper divisors (1434723115).

10032133013 is an equidigital number, since it uses as much as digits as its factorization.

10032133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195163.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 10032133013 its reverse (31033123001), we get a palindrome (41065256014).

The spelling of 10032133013 in words is "ten billion, thirty-two million, one hundred thirty-three thousand, thirteen".

Divisors: 1 7 7643 53501 187513 1312591 1433161859 10032133013