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3141135220 = 2251725961151
BaseRepresentation
bin1011101100111001…
…1110101101110100
322002220121012110111
42323032132231310
522413112311340
61235405232404
7140561131426
oct27316365564
98086535414
103141135220
1113720a8423
12737b62704
133b09cb4c2
1421b264816
15135b71aea
hexbb39eb74

3141135220 has 144 divisors (see below), whose sum is σ = 7290783360. Its totient is φ = 1135872000.

The previous prime is 3141135209. The next prime is 3141135287. The reversal of 3141135220 is 225311413.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3141135191 and 3141135200.

It is a congruent number.

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, 20802145 + ... + 20802295.

It is an arithmetic number, because the mean of its divisors is an integer number (50630440).

Almost surely, 23141135220 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 3141135220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645391680).

3141135220 is an abundant number, since it is smaller than the sum of its proper divisors (4149648140).

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

3141135220 is a wasteful number, since it uses less digits than its factorization.

3141135220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 3141135220 is about 56045.8314239338. The cubic root of 3141135220 is about 1464.5207998344.

Adding to 3141135220 its reverse (225311413), we get a palindrome (3366446633).

The spelling of 3141135220 in words is "three billion, one hundred forty-one million, one hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 59 61 68 85 118 122 151 170 236 244 289 295 302 305 340 578 590 604 610 755 1003 1037 1156 1180 1220 1445 1510 2006 2074 2567 2890 3020 3599 4012 4148 5015 5134 5185 5780 7198 8909 9211 10030 10268 10370 12835 14396 17051 17629 17818 17995 18422 20060 20740 25670 34102 35258 35636 35990 36844 43639 44545 46055 51340 61183 68204 70516 71980 85255 87278 88145 89090 92110 122366 151453 156587 170510 174556 176290 178180 184220 218195 244732 302906 305915 313174 341020 352580 436390 543449 605812 611830 626348 757265 782935 872780 1040111 1086898 1223660 1514530 1565870 2080222 2173796 2574701 2661979 2717245 3029060 3131740 4160444 5149402 5200555 5323958 5434490 9238633 10298804 10401110 10647916 10868980 12873505 13309895 18477266 20802220 25747010 26619790 36954532 46193165 51494020 53239580 92386330 157056761 184772660 314113522 628227044 785283805 1570567610 3141135220