Search a number
-
+
123117312 = 283160309
BaseRepresentation
bin1110101011010…
…01111100000000
322120200000012110
413111221330000
5223004223222
620114455320
73023323413
oct725517400
9276600173
10123117312
116355094a
1235294540
131c678aa6
14124cbb7a
15ac1e30c
hex7569f00

123117312 has 36 divisors (see below), whose sum is σ = 327673640. Its totient is φ = 41038848.

The previous prime is 123117311. The next prime is 123117341. The reversal of 123117312 is 213711321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123117311) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 79387 + ... + 80922.

Almost surely, 2123117312 is an apocalyptic number.

123117312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123117312 is an abundant number, since it is smaller than the sum of its proper divisors (204556328).

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

123117312 is an equidigital number, since it uses as much as digits as its factorization.

123117312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160328 (or 160314 counting only the distinct ones).

The product of its digits is 252, while the sum is 21.

The square root of 123117312 is about 11095.8240793553. The cubic root of 123117312 is about 497.4770400926.

Adding to 123117312 its reverse (213711321), we get a palindrome (336828633).

The spelling of 123117312 in words is "one hundred twenty-three million, one hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 160309 320618 480927 641236 961854 1282472 1923708 2564944 3847416 5129888 7694832 10259776 15389664 20519552 30779328 41039104 61558656 123117312