Search a number
-
+
3041122410 = 2325297116411
BaseRepresentation
bin1011010101000011…
…1101100001101010
321211221102000200100
42311100331201222
522212011404120
61221433450230
7135235054044
oct26520754152
97757360610
103041122410
1113206a8307
1270a570976
13396081c21
1420bc6ca94
1512beb8490
hexb543d86a

3041122410 has 96 divisors (see below), whose sum is σ = 8295281280. Its totient is φ = 771926400.

The previous prime is 3041122393. The next prime is 3041122421. The reversal of 3041122410 is 142211403.

3041122410 is a `hidden beast` number, since 30 + 411 + 224 + 1 + 0 = 666.

3041122410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177105 + ... + 193515.

It is an arithmetic number, because the mean of its divisors is an integer number (86409180).

Almost surely, 23041122410 is an apocalyptic number.

3041122410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3041122410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147640640).

3041122410 is an abundant number, since it is smaller than the sum of its proper divisors (5254158870).

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

3041122410 is a wasteful number, since it uses less digits than its factorization.

3041122410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16524 (or 16521 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3041122410 is about 55146.3725914951. The cubic root of 3041122410 is about 1448.8095516464.

Adding to 3041122410 its reverse (142211403), we get a palindrome (3183333813).

The spelling of 3041122410 in words is "three billion, forty-one million, one hundred twenty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 71 87 90 142 145 174 213 261 290 355 426 435 522 639 710 870 1065 1278 1305 2059 2130 2610 3195 4118 6177 6390 10295 12354 16411 18531 20590 30885 32822 37062 49233 61770 82055 92655 98466 147699 164110 185310 246165 295398 475919 492330 738495 951838 1165181 1427757 1476990 2330362 2379595 2855514 3495543 4283271 4759190 5825905 6991086 7138785 8566542 10486629 11651810 14277570 17477715 20973258 21416355 33790249 34955430 42832710 52433145 67580498 101370747 104866290 168951245 202741494 304112241 337902490 506853735 608224482 1013707470 1520561205 3041122410