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2131410000 = 24354233089
BaseRepresentation
bin111111100001010…
…1011110001010000
312111112121211212010
41333002223301100
513331120110000
6551255302520
7103550454216
oct17702536120
95445554763
102131410000
119a4141975
124b597aa40
1327c767865
14163104cb6
15c71bdd50
hex7f0abc50

2131410000 has 200 divisors, whose sum is σ = 7181951040. Its totient is φ = 543488000.

The previous prime is 2131409983. The next prime is 2131410011. The reversal of 2131410000 is 141312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 688456 + ... + 691544.

Almost surely, 22131410000 is an apocalyptic number.

2131410000 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 2131410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590975520).

2131410000 is an abundant number, since it is smaller than the sum of its proper divisors (5050541040).

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

2131410000 is a wasteful number, since it uses less digits than its factorization.

2131410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3143 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2131410000 is about 46167.1961461815. The cubic root of 2131410000 is about 1286.9321969220.

Adding to 2131410000 its reverse (141312), we get a palindrome (2131551312).

The spelling of 2131410000 in words is "two billion, one hundred thirty-one million, four hundred ten thousand".