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201130210320 = 243513190133911
BaseRepresentation
bin1011101101010001001…
…0110111010000010000
3201020011002222022120220
42323110102313100100
511243403313212240
6232221542233040
720350123402554
oct2732422672020
9636132868526
10201130210320
117833183aa16
1232b92125780
1315c74519790
149a40245864
1553727c65d0
hex2ed44b7410

201130210320 has 160 divisors (see below), whose sum is σ = 671838499584. Its totient is φ = 49481472000.

The previous prime is 201130210277. The next prime is 201130210361. The reversal of 201130210320 is 23012031102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201130210320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5914165 + ... + 5948075.

Almost surely, 2201130210320 is an apocalyptic number.

201130210320 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 201130210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335919249792).

201130210320 is an abundant number, since it is smaller than the sum of its proper divisors (470708289264).

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

201130210320 is a wasteful number, since it uses less digits than its factorization.

201130210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35841 (or 35835 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 201130210320 its reverse (23012031102), we get a palindrome (224142241422).

The spelling of 201130210320 in words is "two hundred one billion, one hundred thirty million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 1901 3120 3802 5703 7604 9505 11406 15208 19010 22812 24713 28515 30416 33911 38020 45624 49426 57030 67822 74139 76040 91248 98852 101733 114060 123565 135644 148278 152080 169555 197704 203466 228120 247130 271288 296556 339110 370695 395408 406932 440843 456240 494260 508665 542576 593112 678220 741390 813864 881686 988520 1017330 1186224 1322529 1356440 1482780 1627728 1763372 1977040 2034660 2204215 2645058 2712880 2965560 3526744 4069320 4408430 5290116 5931120 6612645 7053488 8138640 8816860 10580232 13225290 17633720 21160464 26450580 35267440 52901160 64464811 105802320 128929622 193394433 257859244 322324055 386788866 515718488 644648110 773577732 838042543 966972165 1031436976 1289296220 1547155464 1676085086 1933944330 2514127629 2578592440 3094310928 3352170172 3867888660 4190212715 5028255258 5157184880 6704340344 7735777320 8380425430 10056510516 12570638145 13408680688 15471554640 16760850860 20113021032 25141276290 33521701720 40226042064 50282552580 67043403440 100565105160 201130210320