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220031124200 = 235231831373121
BaseRepresentation
bin1100110011101011100…
…0001000001011101000
3210000221100101020010022
43030322320020023220
512101110431433300
6245025250340012
721616401461006
oct3147270101350
9700840336108
10220031124200
11853509192a8
1236787b8a608
13179972a36a4
14a914589a76
155acbcdc285
hex333ae082e8

220031124200 has 192 divisors, whose sum is σ = 538510533120. Its totient is φ = 83506176000.

The previous prime is 220031124193. The next prime is 220031124223. The reversal of 220031124200 is 2421130022.

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 47 ways as a sum of consecutive naturals, for example, 70498640 + ... + 70501760.

It is an arithmetic number, because the mean of its divisors is an integer number (2804742360).

Almost surely, 2220031124200 is an apocalyptic number.

220031124200 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 220031124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269255266560).

220031124200 is an abundant number, since it is smaller than the sum of its proper divisors (318479408920).

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

220031124200 is a wasteful number, since it uses less digits than its factorization.

220031124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 220031124200 its reverse (2421130022), we get a palindrome (222452254222).

The spelling of 220031124200 in words is "two hundred twenty billion, thirty-one million, one hundred twenty-four thousand, two hundred".