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220302320031 = 32199671332283
BaseRepresentation
bin1100110100101100001…
…0101010000110011111
3210001122020200101212100
43031023002222012133
512102134343220111
6245112215140143
721626203552263
oct3151302520637
9701566611770
10220302320031
118547aa09792
1236842974653
1317a0b5278b1
14a93c5c20a3
155ae5a0b756
hex334b0aa19f

220302320031 has 24 divisors (see below), whose sum is σ = 335309237120. Its totient is φ = 138994316496.

The previous prime is 220302320011. The next prime is 220302320039. The reversal of 220302320031 is 130023203022.

It is a happy number.

220302320031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220302320031 - 27 = 220302319903 is a prime.

It is a super-2 number, since 2×2203023200312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220302319986 and 220302320013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220302320039) 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 23 ways as a sum of consecutive naturals, for example, 500785 + ... + 831498.

Almost surely, 2220302320031 is an apocalyptic number.

220302320031 is a deficient number, since it is larger than the sum of its proper divisors (115006917089).

220302320031 is a wasteful number, since it uses less digits than its factorization.

220302320031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333275 (or 1333272 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 220302320031 its reverse (130023203022), we get a palindrome (350325523053).

The spelling of 220302320031 in words is "two hundred twenty billion, three hundred two million, three hundred twenty thousand, thirty-one".

Divisors: 1 3 9 19 57 171 967 2901 8703 18373 55119 165357 1332283 3996849 11990547 25313377 75940131 227820393 1288317661 3864952983 11594858949 24478035559 73434106677 220302320031