Search a number
-
+
3002110320220 = 2251128187755373
BaseRepresentation
bin101011101011111011101…
…110000001111001011100
3101121222222020012122120021
4223223323232001321130
5343141310220221340
610215052255001524
7426616043453134
oct53537356017134
911558866178507
103002110320220
11a58208013580
124059b48092a4
1318a136ac22ab
14a54352abac4
1553159b48e4a
hex2bafbb81e5c

3002110320220 has 96 divisors (see below), whose sum is σ = 6910031975616. Its totient is φ = 1086531532800.

The previous prime is 3002110320151. The next prime is 3002110320227. The reversal of 3002110320220 is 220230112003.

It is a junction number, because it is equal to n+sod(n) for n = 3002110320194 and 3002110320203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3002110320227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54188454 + ... + 54243826.

It is an arithmetic number, because the mean of its divisors is an integer number (71979499746).

Almost surely, 23002110320220 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 3002110320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455015987808).

3002110320220 is an abundant number, since it is smaller than the sum of its proper divisors (3907921655396).

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

3002110320220 is a wasteful number, since it uses less digits than its factorization.

3002110320220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56551 (or 56549 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 3002110320220 its reverse (220230112003), we get a palindrome (3222340432223).

The spelling of 3002110320220 in words is "three trillion, two billion, one hundred ten million, three hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 281 562 877 1124 1405 1754 2810 3091 3508 4385 5620 6182 8770 9647 12364 15455 17540 19294 30910 38588 48235 55373 61820 96470 110746 192940 221492 246437 276865 492874 553730 609103 985748 1107460 1218206 1232185 2436412 2464370 2710807 3045515 4928740 5421614 6091030 10843228 12182060 13554035 15559813 27108070 31119626 48562121 54216140 62239252 77799065 97124242 155598130 171157943 194248484 242810605 311196260 342315886 485621210 534183331 684631772 855789715 971242420 1068366662 1711579430 2136733324 2670916655 3423158860 5341833310 10683666620 13645956001 27291912002 54583824004 68229780005 136459560010 150105516011 272919120020 300211032022 600422064044 750527580055 1501055160110 3002110320220