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331200330102 = 232292237094013
BaseRepresentation
bin1001101000111010001…
…00111111100101110110
31011122212220212000110200
410310131010333211312
520411244241030402
6412052404301330
732633311233015
oct4643504774566
91148786760420
10331200330102
11118508a52084
12542323a1846
1325302aa24b5
141205cb64a7c
15893688b21c
hex4d1d13f976

331200330102 has 96 divisors (see below), whose sum is σ = 746912275200. Its totient is φ = 105939138816.

The previous prime is 331200330091. The next prime is 331200330143. The reversal of 331200330102 is 201033002133.

331200330102 is a `hidden beast` number, since 3 + 31 + 200 + 330 + 102 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82529848 + ... + 82533860.

It is an arithmetic number, because the mean of its divisors is an integer number (7780336200).

Almost surely, 2331200330102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331200330102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373456137600).

331200330102 is an abundant number, since it is smaller than the sum of its proper divisors (415711945098).

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

331200330102 is a wasteful number, since it uses less digits than its factorization.

331200330102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4982 (or 4979 counting only the distinct ones).

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

Adding to 331200330102 its reverse (201033002133), we get a palindrome (532233332235).

The spelling of 331200330102 in words is "three hundred thirty-one billion, two hundred million, three hundred thirty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 29 58 87 174 223 261 446 522 669 709 1338 1418 2007 2127 4013 4014 4254 6381 6467 8026 12039 12762 12934 19401 20561 24078 36117 38802 41122 58203 61683 72234 116377 116406 123366 158107 185049 232754 316214 349131 370098 474321 698262 894899 948642 1047393 1422963 1789798 2094786 2684697 2845217 2845926 4585103 5369394 5690434 8054091 8535651 9170206 13755309 16108182 17071302 25606953 25952071 27510618 41265927 51213906 51904142 77856213 82511293 82531854 155712426 165022586 233568639 247533879 467137278 495067758 634483391 742601637 1268966782 1485203274 1903450173 3806900346 5710350519 11420701038 18400018339 36800036678 55200055017 110400110034 165600165051 331200330102