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20200112220200 = 235211229137210097
BaseRepresentation
bin1001001011111001101001…
…00000110110100000101000
32122112010000112220120022212
410211330310200312200220
510121424312212021300
6110543445313304252
74153260416565323
oct445746440664050
978463015816285
1020200112220200
116488901806a00
122322b00865088
13b36b299349a3
144db9951d17ba
152506b80c5935
hex125f34836828

20200112220200 has 288 divisors, whose sum is σ = 53793134753400. Its totient is φ = 7040400998400.

The previous prime is 20200112220193. The next prime is 20200112220257. The reversal of 20200112220200 is 202221100202.

It can be written as a sum of positive squares in 12 ways, for example, as 2405669244484 + 17794442975716 = 1551022^2 + 4218346^2 .

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 71 ways as a sum of consecutive naturals, for example, 96041552 + ... + 96251648.

Almost surely, 220200112220200 is an apocalyptic number.

20200112220200 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 20200112220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26896567376700).

20200112220200 is an abundant number, since it is smaller than the sum of its proper divisors (33593022533200).

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

20200112220200 is a wasteful number, since it uses less digits than its factorization.

20200112220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210301 (or 210281 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20200112220200 its reverse (202221100202), we get a palindrome (20402333320402).

The spelling of 20200112220200 in words is "twenty trillion, two hundred billion, one hundred twelve million, two hundred twenty thousand, two hundred".