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331012512 = 25321149349
BaseRepresentation
bin10011101110101…
…101100110100000
3212001212011210200
4103232231212200
51134214400022
652502425200
711126363025
oct2356554640
9761764720
10331012512
1115a936666
1292a32200
13537688bc
1431d6754c
151e0d7bac
hex13bad9a0

331012512 has 36 divisors (see below), whose sum is σ = 941317650. Its totient is φ = 110337408.

The previous prime is 331012511. The next prime is 331012519. The reversal of 331012512 is 215210133.

331012512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 304014096 + 26998416 = 17436^2 + 5196^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (331012511) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 574387 + ... + 574962.

Almost surely, 2331012512 is an apocalyptic number.

331012512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331012512 is an abundant number, since it is smaller than the sum of its proper divisors (610305138).

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

331012512 is a wasteful number, since it uses less digits than its factorization.

331012512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149365 (or 1149354 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 331012512 is about 18193.7492562693. The cubic root of 331012512 is about 691.7483576099.

Adding to 331012512 its reverse (215210133), we get a palindrome (546222645).

The spelling of 331012512 in words is "three hundred thirty-one million, twelve thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1149349 2298698 3448047 4597396 6896094 9194792 10344141 13792188 18389584 20688282 27584376 36779168 41376564 55168752 82753128 110337504 165506256 331012512