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1301410000000 = 27571111831
BaseRepresentation
bin10010111100000010000…
…101001010110010000000
311121102011111111212121101
4102330002011022302000
5132310241430000000
62433505352504144
7163011103323505
oct22740205126200
94542144455541
101301410000000
11461a1a021050
1219027b6ab054
1395951267776
1446dba9414ac
1523cbcae2e6a
hex12f0214ac80

1301410000000 has 256 divisors, whose sum is σ = 3535725323520. Its totient is φ = 473200000000.

The previous prime is 1301409999977. The next prime is 1301410000003. The reversal of 1301410000000 is 141031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1301410000003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109994085 + ... + 110005915.

It is an arithmetic number, because the mean of its divisors is an integer number (13811427045).

Almost surely, 21301410000000 is an apocalyptic number.

1301410000000 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 1301410000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767862661760).

1301410000000 is an abundant number, since it is smaller than the sum of its proper divisors (2234315323520).

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

1301410000000 is an frugal number, since it uses more digits than its factorization.

1301410000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11891 (or 11849 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 1301410000000 its reverse (141031), we get a palindrome (1301410141031).

The spelling of 1301410000000 in words is "one trillion, three hundred one billion, four hundred ten million", and thus it is an aban number.