Search a number
-
+
220331313213 = 311181358110301
BaseRepresentation
bin1100110100110011000…
…1010000100000111101
3210001201021020102000220
43031030301100200331
512102214304010323
6245115132411553
721630005155434
oct3151461204075
9701637212026
10220331313213
11854953117a0
1236850616bb9
1317a1453951b
14a9423ac11b
155ae83370e3
hex334cc5083d

220331313213 has 32 divisors (see below), whose sum is σ = 322373810304. Its totient is φ = 132746400000.

The previous prime is 220331313203. The next prime is 220331313259. The reversal of 220331313213 is 312313133022.

It is not a de Polignac number, because 220331313213 - 216 = 220331247677 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220331313203) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 21384163 + ... + 21394463.

It is an arithmetic number, because the mean of its divisors is an integer number (10074181572).

Almost surely, 2220331313213 is an apocalyptic number.

It is an amenable number.

220331313213 is a deficient number, since it is larger than the sum of its proper divisors (102042497091).

220331313213 is a wasteful number, since it uses less digits than its factorization.

220331313213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14077.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 220331313213 its reverse (312313133022), we get a palindrome (532644446235).

The spelling of 220331313213 in words is "two hundred twenty billion, three hundred thirty-one million, three hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 11 33 181 543 1991 3581 5973 10301 10743 30903 39391 113311 118173 339933 648161 1864481 1944483 5593443 7129771 20509291 21389313 36887881 61527873 110663643 405766691 1217300073 6676706461 20030119383 73443771071 220331313213