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10001132402000 = 245317311945823
BaseRepresentation
bin1001000110001001000111…
…1100011011010101010000
31022102002200010001020100012
42101202101330123111100
52302324304343331000
633134242400214052
72051362245531665
oct221422174332520
938362603036305
1010001132402000
11320650256a443
12115635300a328
1357714494258c
142680b36a3a6c
15125244579735
hex91891f1b550

10001132402000 has 160 divisors (see below), whose sum is σ = 25687611316224. Its totient is φ = 3753021696000.

The previous prime is 10001132401999. The next prime is 10001132402011. The reversal of 10001132402000 is 20423110001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10101089 + ... + 11046911.

Almost surely, 210001132402000 is an apocalyptic number.

10001132402000 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 10001132402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12843805658112).

10001132402000 is an abundant number, since it is smaller than the sum of its proper divisors (15686478914224).

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

10001132402000 is a wasteful number, since it uses less digits than its factorization.

10001132402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946174 (or 946158 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10001132402000 its reverse (20423110001), we get a palindrome (10021555512001).

The spelling of 10001132402000 in words is "ten trillion, one billion, one hundred thirty-two million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 311 340 400 425 500 622 680 850 1000 1244 1360 1555 1700 2000 2125 2488 3110 3400 4250 4976 5287 6220 6800 7775 8500 10574 12440 15550 17000 21148 24880 26435 31100 34000 38875 42296 52870 62200 77750 84592 105740 124400 132175 155500 211480 264350 311000 422960 528700 622000 660875 945823 1057400 1321750 1891646 2114800 2643500 3783292 4729115 5287000 7566584 9458230 10574000 15133168 16078991 18916460 23645575 32157982 37832920 47291150 64315964 75665840 80394955 94582300 118227875 128631928 160789910 189164600 236455750 257263856 294150953 321579820 378329200 401974775 472911500 588301906 643159640 803949550 945823000 1176603812 1286319280 1470754765 1607899100 1891646000 2009873875 2353207624 2941509530 3215798200 4019747750 4706415248 5000566201 5883019060 6431596400 7353773825 8039495500 10001132402 11766038120 14707547650 16078991000 20002264804 23532076240 25002831005 29415095300 32157982000 36768869125 40004529608 50005662010 58830190600 73537738250 80009059216 100011324020 117660381200 125014155025 147075476500 200022648040 250028310050 294150953000 400045296080 500056620100 588301906000 625070775125 1000113240200 1250141550250 2000226480400 2500283100500 5000566201000 10001132402000