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220101122200 = 235231472572939
BaseRepresentation
bin1100110011111100001…
…1001001100010011000
3210001010020002111022211
43030333003021202120
512101231341402300
6245040230524504
721621211445551
oct3147703114230
9701106074284
10220101122200
1185387388893
12367a7506734
13179a894131b
14a91d9ab328
155ad30174ba
hex333f0c9898

220101122200 has 192 divisors, whose sum is σ = 541765324800. Its totient is φ = 83034931200.

The previous prime is 220101122141. The next prime is 220101122233. The reversal of 220101122200 is 2221101022.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74888331 + ... + 74891269.

It is an arithmetic number, because the mean of its divisors is an integer number (2821694400).

Almost surely, 2220101122200 is an apocalyptic number.

220101122200 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 220101122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270882662400).

220101122200 is an abundant number, since it is smaller than the sum of its proper divisors (321664202600).

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

220101122200 is a wasteful number, since it uses less digits than its factorization.

220101122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3290 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 220101122200 its reverse (2221101022), we get a palindrome (222322223222).

The spelling of 220101122200 in words is "two hundred twenty billion, one hundred one million, one hundred twenty-two thousand, two hundred".