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331013010 = 235234759173
BaseRepresentation
bin10011101110101…
…101101110010010
3212001212012111010
4103232231232102
51134214404020
652502431350
711126364336
oct2356555622
9761765433
10331013010
1115a936a79
1292a32556
1353768bb3
1431d677c6
151e0d7de0
hex13badb92

331013010 has 128 divisors (see below), whose sum is σ = 865935360. Its totient is φ = 80765696.

The previous prime is 331012943. The next prime is 331013017. The reversal of 331013010 is 10310133.

It is a super-2 number, since 2×3310130102 = 219139225578520200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331013017) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1913284 + ... + 1913456.

It is an arithmetic number, because the mean of its divisors is an integer number (6765120).

Almost surely, 2331013010 is an apocalyptic number.

331013010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 331013010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432967680).

331013010 is an abundant number, since it is smaller than the sum of its proper divisors (534922350).

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

331013010 is a wasteful number, since it uses less digits than its factorization.

331013010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 331013010 is about 18193.7629422833. The cubic root of 331013010 is about 691.7487045157.

Adding to 331013010 its reverse (10310133), we get a palindrome (341323143).

The spelling of 331013010 in words is "three hundred thirty-one million, thirteen thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 47 59 69 94 115 118 138 141 173 177 230 235 282 295 345 346 354 470 519 590 690 705 865 885 1038 1081 1357 1410 1730 1770 2162 2595 2714 2773 3243 3979 4071 5190 5405 5546 6486 6785 7958 8131 8142 8319 10207 10810 11937 13570 13865 16215 16262 16638 19895 20355 20414 23874 24393 27730 30621 32430 39790 40655 40710 41595 48786 51035 59685 61242 63779 81310 83190 102070 119370 121965 127558 153105 187013 191337 234761 243930 306210 318895 374026 382674 469522 479729 561039 637790 704283 935065 956685 959458 1122078 1173805 1408566 1439187 1870130 1913370 2347610 2398645 2805195 2878374 3521415 4797290 5610390 7042830 7195935 11033767 14391870 22067534 33101301 55168835 66202602 110337670 165506505 331013010