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10512343204540 = 2252943543177611
BaseRepresentation
bin1001100011111001100001…
…1110111000001010111100
31101012222012021100201112121
42120332120132320022330
52334213234330021130
634205145342012324
72133330443623012
oct230763036701274
941188167321477
1010512343204540
113393294756801
1212194425770a4
135b3404584c08
14284b2b78c8b2
151336b44dbd7a
hex98f987b82bc

10512343204540 has 96 divisors (see below), whose sum is σ = 23372860008960. Its totient is φ = 3964740998400.

The previous prime is 10512343204523. The next prime is 10512343204541. The reversal of 10512343204540 is 4540234321501.

It is a super-2 number, since 2×105123432045402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10512343204496 and 10512343204505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10512343204541) 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 31 ways as a sum of consecutive naturals, for example, 135410335 + ... + 135487945.

It is an arithmetic number, because the mean of its divisors is an integer number (243467291760).

Almost surely, 210512343204540 is an apocalyptic number.

10512343204540 is a gapful number since it is divisible by the number (10) 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 10512343204540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11686430004480).

10512343204540 is an abundant number, since it is smaller than the sum of its proper divisors (12860516804420).

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

10512343204540 is a wasteful number, since it uses less digits than its factorization.

10512343204540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83123 (or 83121 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 10512343204540 in words is "ten trillion, five hundred twelve billion, three hundred forty-three million, two hundred four thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 43 58 86 116 145 172 215 290 430 580 860 1247 2494 4988 5431 6235 10862 12470 21724 24940 27155 54310 77611 108620 155222 157499 233533 310444 314998 388055 467066 629996 776110 787495 934132 1167665 1552220 1574990 2250719 2335330 3149980 3337273 4501438 4670660 6674546 6772457 9002876 11253595 13349092 13544914 16686365 22507190 27089828 33372730 33862285 45014380 66745460 67724570 96780917 135449140 193561834 387123668 421505341 483904585 843010682 967809170 1686021364 1935618340 2107526705 4215053410 8430106820 12223654889 18124729663 24447309778 36249459326 48894619556 61118274445 72498918652 90623648315 122236548890 181247296630 244473097780 362494593260 525617160227 1051234320454 2102468640908 2628085801135 5256171602270 10512343204540