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331332012 = 2233111312129
BaseRepresentation
bin10011101111111…
…011100110101100
3212002110102002000
4103233323212230
51134310111022
652513332300
711132163354
oct2357734654
9762412060
10331332012
11160034710
1292b67090
135384b15b
143200bb64
151e14c6ac
hex13bfb9ac

331332012 has 96 divisors (see below), whose sum is σ = 944697600. Its totient is φ = 99590400.

The previous prime is 331332011. The next prime is 331332019. The reversal of 331332012 is 210233133.

331332012 is a `hidden beast` number, since 331 + 3 + 320 + 12 = 666.

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 (331332011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154564 + ... + 156692.

It is an arithmetic number, because the mean of its divisors is an integer number (9840600).

Almost surely, 2331332012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331332012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472348800).

331332012 is an abundant number, since it is smaller than the sum of its proper divisors (613365588).

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

331332012 is a wasteful number, since it uses less digits than its factorization.

331332012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 331332012 is about 18202.5276266787. The cubic root of 331332012 is about 691.9708492292.

Adding to 331332012 its reverse (210233133), we get a palindrome (541565145).

The spelling of 331332012 in words is "three hundred thirty-one million, three hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 131 132 198 262 297 393 396 524 594 786 1179 1188 1441 1572 2129 2358 2882 3537 4258 4323 4716 5764 6387 7074 8516 8646 12774 12969 14148 17292 19161 23419 25548 25938 38322 38907 46838 51876 57483 70257 76644 77814 93676 114966 140514 155628 210771 229932 278899 281028 421542 557798 632313 836697 843084 1115596 1264626 1673394 2510091 2529252 3067889 3346788 5020182 6135778 7530273 9203667 10040364 12271556 15060546 18407334 27611001 30121092 36814668 55222002 82833003 110444004 165666006 331332012