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220031130000 = 2435411719391
BaseRepresentation
bin1100110011101011100…
…0001001100110010000
3210000221100101112002010
43030322320021212100
512101110432130000
6245025250422520
721616401513633
oct3147270114620
9700840345063
10220031130000
11853509226a0
1236787b91a40
13179972a6216
14a91458bc1a
155acbcddd50
hex333ae09990

220031130000 has 400 divisors, whose sum is σ = 785858844672. Its totient is φ = 52584000000.

The previous prime is 220031129993. The next prime is 220031130017. The reversal of 220031130000 is 31130022.

It is a happy number.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23425305 + ... + 23434695.

Almost surely, 2220031130000 is an apocalyptic number.

220031130000 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 220031130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392929422336).

220031130000 is an abundant number, since it is smaller than the sum of its proper divisors (565827714672).

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

220031130000 is a wasteful number, since it uses less digits than its factorization.

220031130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9504 (or 9483 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 220031130000 its reverse (31130022), we get a palindrome (220062260022).

The spelling of 220031130000 in words is "two hundred twenty billion, thirty-one million, one hundred thirty thousand".