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13311031000 = 235313311031
BaseRepresentation
bin11000110010110011…
…00011011011011000
31021100200001102210011
430121121203123120
5204230110443000
610040501331304
7650600616361
oct143131433330
937320042704
1013311031000
115710803673
1226b5a06b34
131341962707
14903bb0b68
1552d8de2ba
hex3196636d8

13311031000 has 32 divisors (see below), whose sum is σ = 31147814880. Its totient is φ = 5324412000.

The previous prime is 13311030989. The next prime is 13311031051. The reversal of 13311031000 is 13011331.

It is a happy number.

13311031000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133110310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6654516 + ... + 6656515.

It is an arithmetic number, because the mean of its divisors is an integer number (973369215).

Almost surely, 213311031000 is an apocalyptic number.

13311031000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13311031000 is an abundant number, since it is smaller than the sum of its proper divisors (17836783880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13311031000 is a wasteful number, since it uses less digits than its factorization.

13311031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13311052 (or 13311038 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 13311031000 its reverse (13011331), we get a palindrome (13324042331).

The spelling of 13311031000 in words is "thirteen billion, three hundred eleven million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 13311031 26622062 53244124 66555155 106488248 133110310 266220620 332775775 532441240 665551550 1331103100 1663878875 2662206200 3327757750 6655515500 13311031000