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220232131121 = 3534211481917
BaseRepresentation
bin1100110100011011011…
…0111010001000110001
3210001110100121102210002
43031012312322020301
512102013411143441
6245101230515345
721624362141012
oct3150666721061
9701410542702
10220232131121
1185444329822
1236823365b55
13179c9b210b2
14a933151009
155ade794b9b
hex3346dba231

220232131121 has 8 divisors (see below), whose sum is σ = 221380766184. Its totient is φ = 219086461440.

The previous prime is 220232131117. The next prime is 220232131129. The reversal of 220232131121 is 121131232022.

220232131121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8595329521 + 211636801600 = 92711^2 + 460040^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 220232131121 - 22 = 220232131117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 220232131093 and 220232131102.

It is not an unprimeable number, because it can be changed into a prime (220232131129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 592346 + ... + 889571.

It is an arithmetic number, because the mean of its divisors is an integer number (27672595773).

Almost surely, 2220232131121 is an apocalyptic number.

It is an amenable number.

220232131121 is a deficient number, since it is larger than the sum of its proper divisors (1148635063).

220232131121 is a wasteful number, since it uses less digits than its factorization.

220232131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482691.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 220232131121 its reverse (121131232022), we get a palindrome (341363363143).

The spelling of 220232131121 in words is "two hundred twenty billion, two hundred thirty-two million, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 353 421 148613 1481917 523116701 623887057 220232131121