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1130213404320 = 2535721113225849
BaseRepresentation
bin10000011100100101111…
…101111110111010100000
311000001021111220201210120
4100130211331332322200
5122004134112414240
62223113551400240
7144440512266300
oct20344575767240
94001244821716
101130213404320
113a6359002930
12163062223080
138276a43b900
143c9b9dc3600
151e5ed1d0ad0
hex10725f7eea0

1130213404320 has 864 divisors, whose sum is σ = 4892372654400. Its totient is φ = 216775802880.

The previous prime is 1130213404253. The next prime is 1130213404387. The reversal of 1130213404320 is 234043120311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1130213404253) and next prime (1130213404387).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43710756 + ... + 43736604.

It is an arithmetic number, because the mean of its divisors is an integer number (5662468350).

Almost surely, 21130213404320 is an apocalyptic number.

1130213404320 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 1130213404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446186327200).

1130213404320 is an abundant number, since it is smaller than the sum of its proper divisors (3762159250080).

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

1130213404320 is a wasteful number, since it uses less digits than its factorization.

1130213404320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25918 (or 25890 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1130213404320 its reverse (234043120311), we get a palindrome (1364256524631).

The spelling of 1130213404320 in words is "one trillion, one hundred thirty billion, two hundred thirteen million, four hundred four thousand, three hundred twenty".