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230011023110220 = 223451170918205169
BaseRepresentation
bin110100010011000110011101…
…010100111011000001001100
31010011101211122200020211120000
4310103012131110323001030
5220122000033404011340
62133105334424124300
766306514400631432
oct6423063524730114
91104354580224500
10230011023110220
116731a144197250
1221969816306690
139b45c3c357751
1440b2842d78d52
151b8d1ab96ed30
hexd1319d53b04c

230011023110220 has 240 divisors, whose sum is σ = 788259101968800. Its totient is φ = 55681598638080.

The previous prime is 230011023110149. The next prime is 230011023110221. The reversal of 230011023110220 is 22011320110032.

230011023110220 is a `hidden beast` number, since 2 + 30 + 0 + 1 + 102 + 311 + 0 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 230011023110193 and 230011023110202.

It is not an unprimeable number, because it can be changed into a prime (230011023110221) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3531796 + ... + 21736964.

It is an arithmetic number, because the mean of its divisors is an integer number (3284412924870).

Almost surely, 2230011023110220 is an apocalyptic number.

230011023110220 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 230011023110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394129550984400).

230011023110220 is an abundant number, since it is smaller than the sum of its proper divisors (558248078858580).

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

230011023110220 is a wasteful number, since it uses less digits than its factorization.

230011023110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18205910 (or 18205899 counting only the distinct ones).

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

Adding to 230011023110220 its reverse (22011320110032), we get a palindrome (252022343220252).

The spelling of 230011023110220 in words is "two hundred thirty trillion, eleven billion, twenty-three million, one hundred ten thousand, two hundred twenty".