Search a number
-
+
305022012020 = 2251146712492377
BaseRepresentation
bin1000111000001001011…
…10101000101001110100
31002011022111201200010022
410130010232220221310
514444141113341040
6352043012144312
731015505215655
oct4340456505164
91064274650108
10305022012020
111083a4a79260
124b147308098
13229c03c665b
1410a980d352c
157e035126b5
hex4704ba8a74

305022012020 has 96 divisors (see below), whose sum is σ = 701129520000. Its totient is φ = 110544445440.

The previous prime is 305022012013. The next prime is 305022012037. The reversal of 305022012020 is 20210220503.

It is a self number, because there is not a number n which added to its sum of digits gives 305022012020.

It is a congruent number.

It is an unprimeable number.

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, 128321072 + ... + 128323448.

It is an arithmetic number, because the mean of its divisors is an integer number (7303432500).

Almost surely, 2305022012020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305022012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350564760000).

305022012020 is an abundant number, since it is smaller than the sum of its proper divisors (396107507980).

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

305022012020 is a wasteful number, since it uses less digits than its factorization.

305022012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4113 (or 4111 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 305022012020 its reverse (20210220503), we get a palindrome (325232232523).

The spelling of 305022012020 in words is "three hundred five billion, twenty-two million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 467 934 1249 1868 2335 2377 2498 4670 4754 4996 5137 6245 9340 9508 10274 11885 12490 13739 20548 23770 24980 25685 26147 27478 47540 51370 52294 54956 68695 102740 104588 130735 137390 261470 274780 522940 583283 1110059 1166566 2220118 2333132 2916415 2968873 4440236 5550295 5832830 5937746 6416113 11100590 11665660 11875492 12210649 12832226 14844365 22201180 24421298 25664452 29688730 32080565 32657603 48842596 59377460 61053245 64161130 65315206 122106490 128322260 130630412 163288015 244212980 326576030 653152060 1386463691 2772927382 5545854764 6932318455 13864636910 15251100601 27729273820 30502201202 61004402404 76255503005 152511006010 305022012020