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13312313000 = 235371901759
BaseRepresentation
bin11000110010111100…
…11100011010101000
31021100202110120100122
430121132130122220
5204230423004000
610040545022412
7650614536110
oct143136343250
937322416318
1013312313000
1157114a9878
1226b6324a08
131341cc10ac
14904026040
1552da94085
hex31979c6a8

13312313000 has 64 divisors (see below), whose sum is σ = 35600947200. Its totient is φ = 4564219200.

The previous prime is 13312312997. The next prime is 13312313011. The reversal of 13312313000 is 31321331.

13312313000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13312313000.

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 15 ways as a sum of consecutive naturals, for example, 943880 + ... + 957879.

It is an arithmetic number, because the mean of its divisors is an integer number (556264800).

Almost surely, 213312313000 is an apocalyptic number.

13312313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13312313000 is an abundant number, since it is smaller than the sum of its proper divisors (22288634200).

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

13312313000 is a wasteful number, since it uses less digits than its factorization.

13312313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901787 (or 1901773 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13312313000 its reverse (31321331), we get a palindrome (13343634331).

The spelling of 13312313000 in words is "thirteen billion, three hundred twelve million, three hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 1901759 3803518 7607036 9508795 13312313 15214072 19017590 26624626 38035180 47543975 53249252 66561565 76070360 95087950 106498504 133123130 190175900 237719875 266246260 332807825 380351800 475439750 532492520 665615650 950879500 1331231300 1664039125 1901759000 2662462600 3328078250 6656156500 13312313000