Search a number
-
+
2011302020 = 2257213473359
BaseRepresentation
bin111011111100010…
…0000100010000100
312012011121201200102
41313320200202010
513104343131040
6531325103232
7100561533200
oct16770404204
95164551612
102011302020
11942366a82
124816b7b18
13260903750
1415119bb00
15bb896515
hex77e20884

2011302020 has 144 divisors (see below), whose sum is σ = 5405460480. Its totient is φ = 622814976.

The previous prime is 2011302017. The next prime is 2011302023. The reversal of 2011302020 is 202031102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2011302017) and next prime (2011302023).

It is a junction number, because it is equal to n+sod(n) for n = 2011301992 and 2011302010.

It is not an unprimeable number, because it can be changed into a prime (2011302023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 597101 + ... + 600459.

It is an arithmetic number, because the mean of its divisors is an integer number (37537920).

Almost surely, 22011302020 is an apocalyptic number.

2011302020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702730240).

2011302020 is an abundant number, since it is smaller than the sum of its proper divisors (3394158460).

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

2011302020 is a wasteful number, since it uses less digits than its factorization.

2011302020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442 (or 3433 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2011302020 is about 44847.5419616282. The cubic root of 2011302020 is about 1262.2898688933.

Adding to 2011302020 its reverse (202031102), we get a palindrome (2213333122).

The spelling of 2011302020 in words is "two billion, eleven million, three hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 47 49 52 65 70 91 94 98 130 140 182 188 196 235 245 260 329 364 455 470 490 611 637 658 910 940 980 1222 1274 1316 1645 1820 2303 2444 2548 3055 3185 3290 3359 4277 4606 6110 6370 6580 6718 8554 9212 11515 12220 12740 13436 16795 17108 21385 23030 23513 29939 33590 42770 43667 46060 47026 59878 67180 85540 87334 94052 117565 119756 149695 157873 164591 174668 218335 235130 299390 305669 315746 329182 436670 470260 598780 611338 631492 658364 789365 822955 873340 1105111 1222676 1528345 1578730 1645910 2052349 2139683 2210222 3056690 3157460 3291820 4104698 4279366 4420444 5525555 6113380 7735777 8209396 8558732 10261745 10698415 11051110 14366443 15471554 20523490 21396830 22102220 28732886 30943108 38678885 41046980 42793660 57465772 71832215 77357770 100565101 143664430 154715540 201130202 287328860 402260404 502825505 1005651010 2011302020