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11203312329 = 3211505922369
BaseRepresentation
bin10100110111100010…
…01111101011001001
31001220210000020022200
422123301033223021
5140421021443304
65051405510413
7544425404106
oct123361175311
931823006280
1011203312329
114829a83410
122207b72409
1310970a14c1
14783cb5aad
1545884ee39
hex29bc4fac9

11203312329 has 24 divisors (see below), whose sum is σ = 17657983200. Its totient is φ = 6788240640.

The previous prime is 11203312283. The next prime is 11203312331. The reversal of 11203312329 is 92321330211.

11203312329 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 331 + 2 + 329 = 666.

It is not a de Polignac number, because 11203312329 - 28 = 11203312073 is a prime.

It is a super-2 number, since 2×112033123292 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11203312129) 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 23 ways as a sum of consecutive naturals, for example, 489657 + ... + 512025.

It is an arithmetic number, because the mean of its divisors is an integer number (735749300).

Almost surely, 211203312329 is an apocalyptic number.

It is an amenable number.

11203312329 is a deficient number, since it is larger than the sum of its proper divisors (6454670871).

11203312329 is a wasteful number, since it uses less digits than its factorization.

11203312329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27445 (or 27442 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 11203312329 in words is "eleven billion, two hundred three million, three hundred twelve thousand, three hundred twenty-nine".

Divisors: 1 3 9 11 33 99 5059 15177 22369 45531 55649 67107 166947 201321 246059 500841 738177 2214531 113164771 339494313 1018482939 1244812481 3734437443 11203312329