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10311340000 = 25541339659
BaseRepresentation
bin10011001101001101…
…01000111111100000
3222121121121100022111
421212212220333200
5132104200340000
64423103445104
7513344641513
oct114646507740
928547540274
1010311340000
1144115343a5
121bb92b6794
13c84358a20
146db648d7a
154053abcba
hex2669a8fe0

10311340000 has 120 divisors (see below), whose sum is σ = 27319473720. Its totient is φ = 3807168000.

The previous prime is 10311339959. The next prime is 10311340003. The reversal of 10311340000 is 4311301.

10311340000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311340003) 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, 240171 + ... + 279829.

It is an arithmetic number, because the mean of its divisors is an integer number (227662281).

Almost surely, 210311340000 is an apocalyptic number.

10311340000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10311340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659736860).

10311340000 is an abundant number, since it is smaller than the sum of its proper divisors (17008133720).

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

10311340000 is an equidigital number, since it uses as much as digits as its factorization.

10311340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39702 (or 39679 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10311340000 its reverse (4311301), we get a palindrome (10315651301).

The spelling of 10311340000 in words is "ten billion, three hundred eleven million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3250 4000 5000 5200 6500 8125 10000 10400 13000 16250 20000 26000 32500 39659 52000 65000 79318 130000 158636 198295 260000 317272 396590 515567 634544 793180 991475 1031134 1269088 1586360 1982950 2062268 2577835 3172720 3965900 4124536 4957375 5155670 6345440 7931800 8249072 9914750 10311340 12889175 15863600 16498144 19829500 20622680 24786875 25778350 31727200 39659000 41245360 49573750 51556700 64445875 79318000 82490720 99147500 103113400 128891750 158636000 198295000 206226800 257783500 322229375 396590000 412453600 515567000 644458750 793180000 1031134000 1288917500 2062268000 2577835000 5155670000 10311340000