Search a number
-
+
311333130220 = 225729645111887
BaseRepresentation
bin1001000011111001110…
…01101000111111101100
31002202121100012200201211
410201330321220333230
520100102240131340
6355005141244204
731331060641330
oct4417471507754
91082540180654
10311333130220
11110043487822
1250408a03664
1323487a83a18
14110d636b7c0
1581726035ea
hex487ce68fec

311333130220 has 96 divisors (see below), whose sum is σ = 773149870080. Its totient is φ = 103037356800.

The previous prime is 311333130209. The next prime is 311333130253. The reversal of 311333130220 is 22031333113.

It is a junction number, because it is equal to n+sod(n) for n = 311333130191 and 311333130200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26185117 + ... + 26197003.

It is an arithmetic number, because the mean of its divisors is an integer number (8053644480).

Almost surely, 2311333130220 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 311333130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386574935040).

311333130220 is an abundant number, since it is smaller than the sum of its proper divisors (461816739860).

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

311333130220 is a wasteful number, since it uses less digits than its factorization.

311333130220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18383 (or 18381 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 311333130220 its reverse (22031333113), we get a palindrome (333364463333).

The spelling of 311333130220 in words is "three hundred eleven billion, three hundred thirty-three million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 4060 6451 11887 12902 23774 25804 32255 45157 47548 59435 64510 83209 90314 118870 129020 166418 180628 187079 225785 237740 332836 344723 374158 416045 451570 689446 748316 832090 903140 935395 1309553 1378892 1664180 1723615 1870790 2413061 2619106 3447230 3741580 4826122 5238212 6547765 6894460 9652244 12065305 13095530 24130610 26191060 48261220 76683037 153366074 306732148 383415185 536781259 766830370 1073562518 1533660740 2147125036 2223808073 2683906295 4447616146 5367812590 8895232292 10735625180 11119040365 15566656511 22238080730 31133313022 44476161460 62266626044 77833282555 155666565110 311333130220