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11001300021 = 323733036937
BaseRepresentation
bin10100011111011101…
…01000010000110101
31001101200212221112100
422033232220100311
5140012313100041
65015352012313
7536423335665
oct121756502065
931350787470
1011001300021
114735a46598
122170391099
1310642912aa
1476512c1a5
15445c496b6
hex28fba8435

11001300021 has 12 divisors (see below), whose sum is σ = 16320247372. Its totient is φ = 7135978176.

The previous prime is 11001300001. The next prime is 11001300059. The reversal of 11001300021 is 12000310011.

11001300021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6256019025 + 4745280996 = 79095^2 + 68886^2 .

It is not a de Polignac number, because 11001300021 - 211 = 11001297973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11001299976 and 11001300012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001300001) 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 11 ways as a sum of consecutive naturals, for example, 16518136 + ... + 16518801.

Almost surely, 211001300021 is an apocalyptic number.

It is an amenable number.

11001300021 is a deficient number, since it is larger than the sum of its proper divisors (5318947351).

11001300021 is a wasteful number, since it uses less digits than its factorization.

11001300021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33036980 (or 33036977 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11001300021 its reverse (12000310011), we get a palindrome (23001610032).

The spelling of 11001300021 in words is "eleven billion, one million, three hundred thousand, twenty-one".

Divisors: 1 3 9 37 111 333 33036937 99110811 297332433 1222366669 3667100007 11001300021