Search a number
-
+
3011020110 = 2325721740163
BaseRepresentation
bin1011001101111000…
…1000010101001110
321202211202200002100
42303132020111032
522131310120420
61214440335530
7134421151200
oct26336102516
97684680070
103011020110
111305707a7a
127004745a6
1338ca72507
14207c74770
1512951e190
hexb378854e

3011020110 has 144 divisors (see below), whose sum is σ = 9642733776. Its totient is φ = 647732736.

The previous prime is 3011020109. The next prime is 3011020121. The reversal of 3011020110 is 110201103.

3011020110 is digitally balanced in base 2 and base 4, because in such bases 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 3011020092 and 3011020101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54889 + ... + 95051.

It is an arithmetic number, because the mean of its divisors is an integer number (66963429).

Almost surely, 23011020110 is an apocalyptic number.

3011020110 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 3011020110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821366888).

3011020110 is an abundant number, since it is smaller than the sum of its proper divisors (6631713666).

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

3011020110 is a wasteful number, since it uses less digits than its factorization.

3011020110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40207 (or 40197 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 3011020110 is about 54872.7629156761. The cubic root of 3011020110 is about 1444.0133844545.

Adding to 3011020110 its reverse (110201103), we get a palindrome (3121221213).

The spelling of 3011020110 in words is "three billion, eleven million, twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 49 51 63 70 85 90 98 102 105 119 126 147 153 170 210 238 245 255 294 306 315 357 441 490 510 595 630 714 735 765 833 882 1071 1190 1470 1530 1666 1785 2142 2205 2499 3570 4165 4410 4998 5355 7497 8330 10710 12495 14994 24990 37485 40163 74970 80326 120489 200815 240978 281141 361467 401630 562282 602445 682771 722934 843423 1204890 1365542 1405705 1686846 1807335 1967987 2048313 2530269 2811410 3413855 3614670 3935974 4096626 4217115 4779397 5060538 5903961 6144939 6827710 8434230 9558794 9839935 10241565 11807922 12289878 12651345 14338191 17711883 19679870 20483130 23896985 25302690 28676382 29519805 30724695 33455779 35423766 43014573 47793970 59039610 61449390 66911558 71690955 86029146 88559415 100367337 143381910 167278895 177118830 200734674 215072865 301102011 334557790 430145730 501836685 602204022 1003673370 1505510055 3011020110