Search a number
-
+
3100441301334 = 2321353397629711
BaseRepresentation
bin101101000111100000101…
…100111101000101010110
3101222101210002022001022200
4231013200230331011112
5401244200433120314
610332153441105330
7436666553142306
oct55074054750526
911871702261280
103100441301334
11a95987317023
12420a77628246
131964a78b1ba0
14aa0c27cd606
15559b259e709
hex2d1e0b3d156

3100441301334 has 96 divisors (see below), whose sum is σ = 7389438585984. Its totient is φ = 933623159040.

The previous prime is 3100441301333. The next prime is 3100441301357. The reversal of 3100441301334 is 4331031440013.

3100441301334 is a `hidden beast` number, since 310 + 0 + 4 + 4 + 13 + 0 + 1 + 334 = 666.

3100441301334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31004413013342 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3100441301298 and 3100441301307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3100441301333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4608739 + ... + 5238449.

It is an arithmetic number, because the mean of its divisors is an integer number (76973318604).

Almost surely, 23100441301334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3100441301334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694719292992).

3100441301334 is an abundant number, since it is smaller than the sum of its proper divisors (4288997284650).

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

3100441301334 is a wasteful number, since it uses less digits than its factorization.

3100441301334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630182 (or 630179 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 3100441301334 its reverse (4331031440013), we get a palindrome (7431472741347).

The spelling of 3100441301334 in words is "three trillion, one hundred billion, four hundred forty-one million, three hundred one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 234 318 397 477 689 794 954 1191 1378 2067 2382 3573 4134 5161 6201 7146 10322 12402 15483 21041 30966 42082 46449 63123 92898 126246 189369 273533 378738 547066 629711 820599 1259422 1641198 1889133 2461797 3778266 4923594 5667399 8186243 11334798 16372486 24558729 33374683 49117458 66749366 73676187 100124049 147352374 200248098 249995267 300372147 433870879 499990534 600744294 749985801 867741758 1301612637 1499971602 2249957403 2603225274 3249938471 3904837911 4499914806 6499876942 7809675822 9749815413 13249749151 19499630826 26499498302 29249446239 39749247453 58498892478 79498494906 119247742359 172246738963 238495484718 344493477926 516740216889 1033480433778 1550220650667 3100441301334