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11001332013 = 371977726489
BaseRepresentation
bin10100011111011101…
…10000000100101101
31001101200221120102020
422033232300010231
5140012320111023
65015352420353
7536423531160
oct121756600455
931350846366
1011001332013
114735a68631
1221703a76b9
1310642a2a19
14765139ad7
15445c53de3
hex28fbb012d

11001332013 has 16 divisors (see below), whose sum is σ = 16765415040. Its totient is φ = 6285920256.

The previous prime is 11001331969. The next prime is 11001332021. The reversal of 11001332013 is 31023310011.

11001332013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11001332013 - 222 = 10997137709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11001331983 and 11001332001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001332053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402073 + ... + 428561.

It is an arithmetic number, because the mean of its divisors is an integer number (1047838440).

Almost surely, 211001332013 is an apocalyptic number.

It is an amenable number.

11001332013 is a deficient number, since it is larger than the sum of its proper divisors (5764083027).

11001332013 is a wasteful number, since it uses less digits than its factorization.

11001332013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46276.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11001332013 its reverse (31023310011), we get a palindrome (42024642024).

The spelling of 11001332013 in words is "eleven billion, one million, three hundred thirty-two thousand, thirteen".

Divisors: 1 3 7 21 19777 26489 59331 79467 138439 185423 415317 556269 523872953 1571618859 3667110671 11001332013