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20121013133 = 1313711297593
BaseRepresentation
bin10010101111010011…
…100100101110001101
31220221021020101001122
4102233103210232031
5312201434410013
613124331050325
71311421534604
oct225723445615
956837211048
1020121013133
118595872a81
123a965a09a5
131b88797a40
14d8c3c6a3b
157cb6c1a08
hex4af4e4b8d

20121013133 has 8 divisors (see below), whose sum is σ = 21826951608. Its totient is φ = 18437670144.

The previous prime is 20121013117. The next prime is 20121013147. The reversal of 20121013133 is 33131012102.

It can be written as a sum of positive squares in 4 ways, for example, as 1880349769 + 18240663364 = 43363^2 + 135058^2 .

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 20121013133 - 24 = 20121013117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121013163) 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, 5647016 + ... + 5650577.

It is an arithmetic number, because the mean of its divisors is an integer number (2728368951).

Almost surely, 220121013133 is an apocalyptic number.

It is an amenable number.

20121013133 is a deficient number, since it is larger than the sum of its proper divisors (1705938475).

20121013133 is a wasteful number, since it uses less digits than its factorization.

20121013133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11297743.

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

Adding to 20121013133 its reverse (33131012102), we get a palindrome (53252025235).

The spelling of 20121013133 in words is "twenty billion, one hundred twenty-one million, thirteen thousand, one hundred thirty-three".

Divisors: 1 13 137 1781 11297593 146868709 1547770241 20121013133