Search a number
-
+
11332231323312 = 2431409167557241
BaseRepresentation
bin1010010011100111110110…
…0111110101111010110000
31111010100110200111120120210
42210321331213311322300
52441131402204321222
640033542153504120
72246504153633424
oct244717547657260
944110420446523
1011332231323312
113679a77173499
121330319412040
136428179957b3
142b26a91d4b84
15149b9d7e9d0c
hexa4e7d9f5eb0

11332231323312 has 40 divisors (see below), whose sum is σ = 29295708191280. Its totient is φ = 3774729502720.

The previous prime is 11332231323269. The next prime is 11332231323313. The reversal of 11332231323312 is 21332313223311.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11332231323312.

It is not an unprimeable number, because it can be changed into a prime (11332231323313) 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, 83710989 + ... + 83846252.

It is an arithmetic number, because the mean of its divisors is an integer number (732392704782).

Almost surely, 211332231323312 is an apocalyptic number.

11332231323312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11332231323312 is an abundant number, since it is smaller than the sum of its proper divisors (17963476867968).

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

11332231323312 is a wasteful number, since it uses less digits than its factorization.

11332231323312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167558661 (or 167558655 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

Adding to 11332231323312 its reverse (21332313223311), we get a palindrome (32664544546623).

The spelling of 11332231323312 in words is "eleven trillion, three hundred thirty-two billion, two hundred thirty-one million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 1409 2818 4227 5636 8454 11272 16908 22544 33816 67632 167557241 335114482 502671723 670228964 1005343446 1340457928 2010686892 2680915856 4021373784 8042747568 236088152569 472176305138 708264457707 944352610276 1416528915414 1888705220552 2833057830828 3777410441104 5666115661656 11332231323312