Search a number
-
+
11304312300312 = 2332320478826631
BaseRepresentation
bin1010010001111111110110…
…0001001110001100011000
31111000200101221221020222220
42210133331201032030120
52440202212422102222
640013043540144040
72244465253102053
oct244377541161430
944020357836886
1011304312300312
11366914a655269
121326a27398020
1363ccb878aa45
142b11bb2c3a9a
151490b772bb5c
hexa47fd84e318

11304312300312 has 32 divisors (see below), whose sum is σ = 29489510350080. Its totient is φ = 3604273486880.

The previous prime is 11304312300251. The next prime is 11304312300313. The reversal of 11304312300312 is 21300321340311.

11304312300312 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-3 number, since 3×113043123003123 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11304312300313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10239412764 + ... + 10239413867.

It is an arithmetic number, because the mean of its divisors is an integer number (921547198440).

Almost surely, 211304312300312 is an apocalyptic number.

11304312300312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11304312300312 is an abundant number, since it is smaller than the sum of its proper divisors (18185198049768).

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

11304312300312 is a wasteful number, since it uses less digits than its factorization.

11304312300312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20478826663 (or 20478826659 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11304312300312 its reverse (21300321340311), we get a palindrome (32604633640623).

The spelling of 11304312300312 in words is "eleven trillion, three hundred four billion, three hundred twelve million, three hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 20478826631 40957653262 61436479893 81915306524 122872959786 163830613048 245745919572 471013012513 491491839144 942026025026 1413039037539 1884052050052 2826078075078 3768104100104 5652156150156 11304312300312