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331143012 = 22334789733
BaseRepresentation
bin10011101111001…
…101011101100100
3212002002210211000
4103233031131210
51134233034022
652505313300
711130445344
oct2357153544
9762083730
10331143012
1115aa15712
1292a95830
13537b3115
1431d9cd24
151e1116ac
hex13bcd764

331143012 has 96 divisors (see below), whose sum is σ = 887846400. Its totient is φ = 106672896.

The previous prime is 331142971. The next prime is 331143047. The reversal of 331143012 is 210341133.

It is a super-3 number, since 3×3311430123 (a number of 27 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451398 + ... + 452130.

It is an arithmetic number, because the mean of its divisors is an integer number (9248400).

Almost surely, 2331143012 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 331143012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443923200).

331143012 is an abundant number, since it is smaller than the sum of its proper divisors (556703388).

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

331143012 is a wasteful number, since it uses less digits than its factorization.

331143012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 331143012 is about 18197.3352994333. The cubic root of 331143012 is about 691.8392517572.

Adding to 331143012 its reverse (210341133), we get a palindrome (541484145).

The spelling of 331143012 in words is "three hundred thirty-one million, one hundred forty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 89 94 108 141 178 188 267 282 356 423 534 564 733 801 846 1068 1269 1466 1602 1692 2199 2403 2538 2932 3204 4183 4398 4806 5076 6597 8366 8796 9612 12549 13194 16732 19791 25098 26388 34451 37647 39582 50196 65237 68902 75294 79164 103353 112941 130474 137804 150588 195711 206706 225882 260948 310059 391422 413412 451764 587133 620118 782844 930177 1174266 1240236 1761399 1860354 2348532 3066139 3522798 3720708 6132278 7045596 9198417 12264556 18396834 27595251 36793668 55190502 82785753 110381004 165571506 331143012