Search a number
-
+
1330210310000 = 245411133137811
BaseRepresentation
bin10011010110110110101…
…101101000011101110000
311201011111122101012200112
4103112312231220131300
5133243232314410000
62455031251240452
7165050565035045
oct23266655503560
94634448335615
101330210310000
11473159050240
121959788a9128
1398590c16510
144854d8db1cc
1524906243235
hex135b6b68770

1330210310000 has 800 divisors, whose sum is σ = 4016165615616. Its totient is φ = 419904000000.

The previous prime is 1330210309949. The next prime is 1330210310021. The reversal of 1330210310000 is 130120331.

It is a super-2 number, since 2×13302103100002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1640209595 + ... + 1640210405.

Almost surely, 21330210310000 is an apocalyptic number.

1330210310000 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 1330210310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008082807808).

1330210310000 is an abundant number, since it is smaller than the sum of its proper divisors (2685955305616).

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

1330210310000 is a wasteful number, since it uses less digits than its factorization.

1330210310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 1330210310000 its reverse (130120331), we get a palindrome (1330340430331).

The spelling of 1330210310000 in words is "one trillion, three hundred thirty billion, two hundred ten million, three hundred ten thousand".