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11033313001 = 29538980657
BaseRepresentation
bin10100100011010001…
…01111111011101001
31001110221010101002021
422101220233323221
5140044012004001
65022454104441
7540262420204
oct122150577351
931427111067
1011033313001
1147520213a7
12217b04b121
13106aabc599
147694a293b
1544896eba1
hex291a2fee9

11033313001 has 16 divisors (see below), whose sum is σ = 11759936400. Its totient is φ = 10334291968.

The previous prime is 11033312999. The next prime is 11033313007. The reversal of 11033313001 is 10031333011.

It can be written as a sum of positive squares in 8 ways, for example, as 1296360025 + 9736952976 = 36005^2 + 98676^2 .

It is a cyclic number.

It is not a de Polignac number, because 11033313001 - 21 = 11033312999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11033313007) 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 15 ways as a sum of consecutive naturals, for example, 96465 + ... + 177121.

It is an arithmetic number, because the mean of its divisors is an integer number (734996025).

Almost surely, 211033313001 is an apocalyptic number.

It is an amenable number.

11033313001 is a deficient number, since it is larger than the sum of its proper divisors (726623399).

11033313001 is an equidigital number, since it uses as much as digits as its factorization.

11033313001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80828.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 11033313001 its reverse (10031333011), we get a palindrome (21064646012).

The spelling of 11033313001 in words is "eleven billion, thirty-three million, three hundred thirteen thousand, one".

Divisors: 1 29 53 89 1537 2581 4717 80657 136793 2339053 4274821 7178473 123969809 208175717 380459069 11033313001