Search a number
-
+
10304411310 = 2325599191141
BaseRepresentation
bin10011001100011000…
…01101011010101110
3222121010120022221100
421212030031122232
5132100412130220
64422255143530
7513232023324
oct114614153256
928533508840
1010304411310
114408631806
121bb6b14ba6
13c82aa10cb
146da763d14
1540498dd90
hex26630d6ae

10304411310 has 48 divisors (see below), whose sum is σ = 26836336800. Its totient is φ = 2743241280.

The previous prime is 10304411291. The next prime is 10304411317. The reversal of 10304411310 is 1311440301.

10304411310 is a `hidden beast` number, since 10 + 304 + 41 + 1 + 310 = 666.

10304411310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103044113102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10304411317) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 41661 + ... + 149480.

It is an arithmetic number, because the mean of its divisors is an integer number (559090350).

Almost surely, 210304411310 is an apocalyptic number.

10304411310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10304411310 is an abundant number, since it is smaller than the sum of its proper divisors (16531925490).

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

10304411310 is a wasteful number, since it uses less digits than its factorization.

10304411310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191753 (or 191750 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10304411310 its reverse (1311440301), we get a palindrome (11615851611).

The spelling of 10304411310 in words is "ten billion, three hundred four million, four hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 599 1198 1797 2995 3594 5391 5990 8985 10782 17970 26955 53910 191141 382282 573423 955705 1146846 1720269 1911410 2867115 3440538 5734230 8601345 17202690 114493459 228986918 343480377 572467295 686960754 1030441131 1144934590 1717401885 2060882262 3434803770 5152205655 10304411310