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2134103160 = 2335717259149
BaseRepresentation
bin111111100110011…
…1101010001111000
312111201200200011210
41333030331101320
513332312300120
6551433123120
7103612402050
oct17714752170
95451620153
102134103160
119a5711322
124b68594a0
1328019b647
14163606560
15c7551ce0
hex7f33d478

2134103160 has 384 divisors, whose sum is σ = 7957440000. Its totient is φ = 448290816.

The previous prime is 2134103129. The next prime is 2134103183. The reversal of 2134103160 is 613014312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14322766 + ... + 14322914.

It is an arithmetic number, because the mean of its divisors is an integer number (20722500).

Almost surely, 22134103160 is an apocalyptic number.

2134103160 is a gapful number since it is divisible by the number (20) 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 2134103160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978720000).

2134103160 is an abundant number, since it is smaller than the sum of its proper divisors (5823336840).

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

2134103160 is a wasteful number, since it uses less digits than its factorization.

2134103160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2134103160 is about 46196.3544016192. The cubic root of 2134103160 is about 1287.4740065761.

Adding to 2134103160 its reverse (613014312), we get a palindrome (2747117472).

The spelling of 2134103160 in words is "two billion, one hundred thirty-four million, one hundred three thousand, one hundred sixty".