Search a number
-
+
1300313212000 = 255311213713829
BaseRepresentation
bin10010111011000000101…
…101010000010001100000
311121022100001201021022121
4102323000231100101200
5132301020140241000
62433204452514024
7162641654636035
oct22730055202140
94538301637277
101300313212000
114615069aaa90
1219001431b914
1395807c6ca9a
1446d14ddb38c
1523c56693b1a
hex12ec0b50460

1300313212000 has 192 divisors, whose sum is σ = 3487195333440. Its totient is φ = 472585728000.

The previous prime is 1300313211979. The next prime is 1300313212019. The reversal of 1300313212000 is 2123130031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94021086 + ... + 94034914.

It is an arithmetic number, because the mean of its divisors is an integer number (18162475695).

Almost surely, 21300313212000 is an apocalyptic number.

1300313212000 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 1300313212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743597666720).

1300313212000 is an abundant number, since it is smaller than the sum of its proper divisors (2186882121440).

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

1300313212000 is a wasteful number, since it uses less digits than its factorization.

1300313212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16002 (or 15984 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1300313212000 its reverse (2123130031), we get a palindrome (1302436342031).

The spelling of 1300313212000 in words is "one trillion, three hundred billion, three hundred thirteen million, two hundred twelve thousand".