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10013202000 = 243253556289
BaseRepresentation
bin10010101001101010…
…10101011001010000
3221211211121100212100
421110311111121100
5131001334431000
64333333400400
7503064545514
oct112465253120
927754540770
1010013202000
11427921195a
121b35499100
13c376605c9
146adbdc144
153d9119a00
hex254d55650

10013202000 has 120 divisors (see below), whose sum is σ = 34972839720. Its totient is φ = 2670182400.

The previous prime is 10013201987. The next prime is 10013202019. The reversal of 10013202000 is 20231001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1238758416 + 8774443584 = 35196^2 + 93672^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260145 + ... + 296144.

It is an arithmetic number, because the mean of its divisors is an integer number (291440331).

Almost surely, 210013202000 is an apocalyptic number.

10013202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013202000 is an abundant number, since it is smaller than the sum of its proper divisors (24959637720).

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

10013202000 is a wasteful number, since it uses less digits than its factorization.

10013202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556318 (or 556299 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10013202000 its reverse (20231001), we get a palindrome (10033433001).

The spelling of 10013202000 in words is "ten billion, thirteen million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 556289 1112578 1668867 2225156 2781445 3337734 4450312 5006601 5562890 6675468 8344335 8900624 10013202 11125780 13350936 13907225 16688670 20026404 22251560 25033005 26701872 27814450 33377340 40052808 41721675 44503120 50066010 55628900 66754680 69536125 80105616 83443350 100132020 111257800 125165025 133509360 139072250 166886700 200264040 208608375 222515600 250330050 278144500 333773400 400528080 417216750 500660100 556289000 625825125 667546800 834433500 1001320200 1112578000 1251650250 1668867000 2002640400 2503300500 3337734000 5006601000 10013202000