Search a number
-
+
10432300010 = 2511474214793
BaseRepresentation
bin10011011011101000…
…00100001111101010
3222221001012202020212
421231310010033222
5132331132100020
64443104221122
7516344041556
oct115564041752
928831182225
1010432300010
114473841450
12203190a7a2
13ca342a8b2
1470d734866
15410d01cc5
hex26dd043ea

10432300010 has 64 divisors (see below), whose sum is σ = 20975169024. Its totient is φ = 3703257600.

The previous prime is 10432299989. The next prime is 10432300027. The reversal of 10432300010 is 1000323401.

10432300010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2174174 + ... + 2178966.

It is an arithmetic number, because the mean of its divisors is an integer number (327737016).

Almost surely, 210432300010 is an apocalyptic number.

10432300010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10432300010 is an abundant number, since it is smaller than the sum of its proper divisors (10542869014).

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

10432300010 is a wasteful number, since it uses less digits than its factorization.

10432300010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5279.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10432300010 its reverse (1000323401), we get a palindrome (11432623411).

The spelling of 10432300010 in words is "ten billion, four hundred thirty-two million, three hundred thousand, ten".

Divisors: 1 2 5 10 11 22 47 55 94 110 235 421 470 517 842 1034 2105 2585 4210 4631 4793 5170 9262 9586 19787 23155 23965 39574 46310 47930 52723 98935 105446 197870 217657 225271 263615 435314 450542 527230 1088285 1126355 2017853 2176570 2252710 2477981 4035706 4955962 10089265 12389905 20178530 22196383 24779810 44392766 94839091 110981915 189678182 221963830 474195455 948390910 1043230001 2086460002 5216150005 10432300010