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220021130211300 = 22325211131307552611
BaseRepresentation
bin110010000001101110101001…
…010011110010111111100100
31001212000210222212022111220200
4302001232221103302333210
5212314311233313230200
62055540151205230500
764226000500225125
oct6201565123627744
91055023885274820
10220021130211300
116411848a079930
122081569b402430
13959cb99148412
143c491182cc04c
151a683c3ee3800
hexc81ba94f2fe4

220021130211300 has 432 divisors, whose sum is σ = 760552663014144. Its totient is φ = 52758781920000.

The previous prime is 220021130211299. The next prime is 220021130211301. The reversal of 220021130211300 is 3112031120022.

220021130211300 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 21 + 130 + 211 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (220021130211299) and next prime (220021130211301).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220021130211301) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 397871995 + ... + 398424605.

It is an arithmetic number, because the mean of its divisors is an integer number (1760538571792).

Almost surely, 2220021130211300 is an apocalyptic number.

220021130211300 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 220021130211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380276331507072).

220021130211300 is an abundant number, since it is smaller than the sum of its proper divisors (540531532802844).

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

220021130211300 is a wasteful number, since it uses less digits than its factorization.

220021130211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553080 (or 553070 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 220021130211300 its reverse (3112031120022), we get a palindrome (223133161331322).

The spelling of 220021130211300 in words is "two hundred twenty trillion, twenty-one billion, one hundred thirty million, two hundred eleven thousand, three hundred".