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20130004433 = 721123395177
BaseRepresentation
bin10010101111110101…
…110111110111010001
31220221220011011210202
4102233311313313101
5312211240120213
613125251504545
71311561133400
oct225765676721
956856134722
1020130004433
11859a954300
123a995b8155
131b8a5c5436
14d8d687637
157cc39ab58
hex4afd77dd1

20130004433 has 18 divisors (see below), whose sum is σ = 25738844418. Its totient is φ = 15685713120.

The previous prime is 20130004417. The next prime is 20130004439. The reversal of 20130004433 is 33440003102.

It can be written as a sum of positive squares in only one way, i.e., 18869967424 + 1260037009 = 137368^2 + 35497^2 .

It is not a de Polignac number, because 20130004433 - 24 = 20130004417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20130004439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1691660 + ... + 1703517.

It is an arithmetic number, because the mean of its divisors is an integer number (1429935801).

Almost surely, 220130004433 is an apocalyptic number.

It is an amenable number.

20130004433 is a deficient number, since it is larger than the sum of its proper divisors (5608839985).

20130004433 is a wasteful number, since it uses less digits than its factorization.

20130004433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395213 (or 3395195 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 20130004433 its reverse (33440003102), we get a palindrome (53570007535).

The spelling of 20130004433 in words is "twenty billion, one hundred thirty million, four thousand, four hundred thirty-three".

Divisors: 1 7 11 49 77 121 539 847 5929 3395177 23766239 37346947 166363673 261428629 410816417 1830000403 2875714919 20130004433