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1310310000 = 24335423211
BaseRepresentation
bin100111000011001…
…1011111001110000
310101022120122102000
41032012123321300
510140414410000
6334004254000
744320310526
oct11606337160
93338518360
101310310000
116126aa32a
123069a1300
1317b60797c
14c6046316
157a07a000
hex4e19be70

1310310000 has 400 divisors, whose sum is σ = 4927422720. Its totient is φ = 332640000.

The previous prime is 1310309983. The next prime is 1310310007. The reversal of 1310310000 is 130131.

1310310000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×13103100002 = 3433824592200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310310007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6209895 + ... + 6210105.

Almost surely, 21310310000 is an apocalyptic number.

1310310000 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 1310310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463711360).

1310310000 is an abundant number, since it is smaller than the sum of its proper divisors (3617112720).

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

1310310000 is a wasteful number, since it uses less digits than its factorization.

1310310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1310310000 is about 36198.2043753554. The cubic root of 1310310000 is about 1094.2704842500.

Adding to 1310310000 its reverse (130131), we get a palindrome (1310440131).

The spelling of 1310310000 in words is "one billion, three hundred ten million, three hundred ten thousand".