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10340712330210 = 23252348171037059
BaseRepresentation
bin1001011001111010001001…
…1111000011001111100010
31100121120012000120221102100
42112132202133003033202
52323410234324031320
633554242504431230
72115043330355133
oct226364237031742
940546160527370
1010340712330210
11332752058a609
1211b0123778516
135a01817a5142
1427a6c92a5c8a
1512debb8e4790
hex967a27c33e2

10340712330210 has 96 divisors (see below), whose sum is σ = 28060653329280. Its totient is φ = 2637080861184.

The previous prime is 10340712330139. The next prime is 10340712330217. The reversal of 10340712330210 is 1203321704301.

It is a happy number.

10340712330210 is a `hidden beast` number, since 1 + 0 + 3 + 407 + 1 + 233 + 0 + 21 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (10340712330217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9452661 + ... + 10489719.

It is an arithmetic number, because the mean of its divisors is an integer number (292298472180).

Almost surely, 210340712330210 is an apocalyptic number.

10340712330210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10340712330210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14030326664640).

10340712330210 is an abundant number, since it is smaller than the sum of its proper divisors (17719940999070).

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

10340712330210 is a wasteful number, since it uses less digits than its factorization.

10340712330210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041912 (or 1041909 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 10340712330210 in words is "ten trillion, three hundred forty billion, seven hundred twelve million, three hundred thirty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 4817 9634 14451 24085 28902 43353 48170 72255 86706 110791 144510 216765 221582 332373 433530 553955 664746 997119 1037059 1107910 1661865 1994238 2074118 3111177 3323730 4985595 5185295 6222354 9333531 9971190 10370590 15555885 18667062 23852357 31111770 46667655 47704714 71557071 93335310 119261785 143114142 214671213 238523570 357785355 429342426 715570710 1073356065 2146712130 4995513203 9991026406 14986539609 24977566015 29973079218 44959618827 49955132030 74932698045 89919237654 114896803669 149865396090 224798094135 229793607338 344690411007 449596188270 574484018345 689380822014 1034071233021 1148968036690 1723452055035 2068142466042 3446904110070 5170356165105 10340712330210