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11320313031 = 34197355629
BaseRepresentation
bin10101000101011111…
…00100010011000111
31002012221011111010000
422202233210103013
5141141000004111
65111145332343
7550346034036
oct124257442307
932187144100
1011320313031
11488a026805
12223b1970b3
1310b53b81a1
1479565071d
15463c61c56
hex2a2be44c7

11320313031 has 20 divisors (see below), whose sum is σ = 17800624600. Its totient is φ = 7149670416.

The previous prime is 11320313027. The next prime is 11320313071. The reversal of 11320313031 is 13031302311.

It is a happy number.

11320313031 is a `hidden beast` number, since 1 + 1 + 320 + 313 + 0 + 31 = 666.

11320313031 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 11320313031 - 22 = 11320313027 is a prime.

It is a super-2 number, since 2×113203130312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11320312995 and 11320313013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11320313071) 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 19 ways as a sum of consecutive naturals, for example, 3676276 + ... + 3679353.

It is an arithmetic number, because the mean of its divisors is an integer number (890031230).

Almost surely, 211320313031 is an apocalyptic number.

11320313031 is a deficient number, since it is larger than the sum of its proper divisors (6480311569).

11320313031 is an equidigital number, since it uses as much as digits as its factorization.

11320313031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7355660 (or 7355651 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11320313031 its reverse (13031302311), we get a palindrome (24351615342).

The spelling of 11320313031 in words is "eleven billion, three hundred twenty million, three hundred thirteen thousand, thirty-one".

Divisors: 1 3 9 19 27 57 81 171 513 1539 7355629 22066887 66200661 139756951 198601983 419270853 595805949 1257812559 3773437677 11320313031