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201024040009 = 13210971084313
BaseRepresentation
bin1011101100110111110…
…1110110110001001001
3201012212201012022022011
42323031331312301021
511243144123240014
6232203230455521
720344364101252
oct2731575666111
9635781168264
10201024040009
1178287914661
1232b626645a1
1315c58525600
149a300c9b29
1553683037c4
hex2ecdf76c49

201024040009 has 12 divisors (see below), whose sum is σ = 217875549276. Its totient is φ = 185391328512.

The previous prime is 201024039971. The next prime is 201024040013. The reversal of 201024040009 is 900040420102.

It can be written as a sum of positive squares in 6 ways, for example, as 14855953225 + 186168086784 = 121885^2 + 431472^2 .

It is a de Polignac number, because none of the positive numbers 2k-201024040009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201024040099) 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 11 ways as a sum of consecutive naturals, for example, 356764 + ... + 727549.

It is an arithmetic number, because the mean of its divisors is an integer number (18156295773).

Almost surely, 2201024040009 is an apocalyptic number.

It is an amenable number.

201024040009 is a deficient number, since it is larger than the sum of its proper divisors (16851509267).

201024040009 is a wasteful number, since it uses less digits than its factorization.

201024040009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085436 (or 1085423 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 201024040009 in words is "two hundred one billion, twenty-four million, forty thousand, nine".

Divisors: 1 13 169 1097 14261 185393 1084313 14096069 183248897 1189491361 15463387693 201024040009