Search a number
-
+
10512250000 = 245676007
BaseRepresentation
bin10011100101001010…
…00011010010010000
31000010121122122000121
421302211003102100
5133012114000000
64455042000024
7521334436120
oct116245032220
930117578017
1010512250000
11450498901a
122054646014
13cb6b71295
1471a1c6c80
15417d45b1a
hex272943490

10512250000 has 140 divisors (see below), whose sum is σ = 29100877504. Its totient is φ = 3603600000.

The previous prime is 10512249961. The next prime is 10512250013. The reversal of 10512250000 is 5221501.

It is a tau number, because it is divible by the number of its divisors (140).

It is a super-2 number, since 2×105122500002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1746997 + ... + 1753003.

Almost surely, 210512250000 is an apocalyptic number.

10512250000 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 10512250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14550438752).

10512250000 is an abundant number, since it is smaller than the sum of its proper divisors (18588627504).

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

10512250000 is an frugal number, since it uses more digits than its factorization.

10512250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6052 (or 6021 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

Adding to 10512250000 its reverse (5221501), we get a palindrome (10517471501).

The spelling of 10512250000 in words is "ten billion, five hundred twelve million, two hundred fifty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3125 3500 4375 5000 6007 6250 7000 8750 10000 12014 12500 14000 15625 17500 21875 24028 25000 30035 31250 35000 42049 43750 48056 50000 60070 62500 70000 84098 87500 96112 109375 120140 125000 150175 168196 175000 210245 218750 240280 250000 300350 336392 350000 420490 437500 480560 600700 672784 750875 840980 875000 1051225 1201400 1501750 1681960 1750000 2102450 2402800 3003500 3363920 3754375 4204900 5256125 6007000 7508750 8409800 10512250 12014000 15017500 16819600 18771875 21024500 26280625 30035000 37543750 42049000 52561250 60070000 75087500 84098000 93859375 105122500 131403125 150175000 187718750 210245000 262806250 300350000 375437500 420490000 525612500 657015625 750875000 1051225000 1314031250 1501750000 2102450000 2628062500 5256125000 10512250000