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330431301131104 = 252310341903104021
BaseRepresentation
bin100101100100001101000100…
…0010100111001101101100000
31121022221220221111210221001001
41023020122020110321231200
5321302241301042143404
63130434013311321344
7126412605451250305
oct11310321024715540
91538856844727031
10330431301131104
1196316145186a68
1231087972220254
131124b6cbc8a244
145b84d631270ac
152830422ec07a4
hex12c8688539b60

330431301131104 has 96 divisors (see below), whose sum is σ = 685434265012224. Its totient is φ = 156492827420160.

The previous prime is 330431301131077. The next prime is 330431301131137. The reversal of 330431301131104 is 401131103134033.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3176530614 + ... + 3176634634.

It is an arithmetic number, because the mean of its divisors is an integer number (7139940260544).

Almost surely, 2330431301131104 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 330431301131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342717132506112).

330431301131104 is an abundant number, since it is smaller than the sum of its proper divisors (355002963881120).

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

330431301131104 is a wasteful number, since it uses less digits than its factorization.

330431301131104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146060 (or 146052 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 330431301131104 its reverse (401131103134033), we get a palindrome (731562404265137).

The spelling of 330431301131104 in words is "three hundred thirty trillion, four hundred thirty-one billion, three hundred one million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 46 92 103 184 206 368 412 736 824 1648 2369 3296 4738 9476 18952 37904 41903 75808 83806 104021 167612 208042 335224 416084 670448 832168 963769 1340896 1664336 1927538 2392483 3328672 3855076 4316009 4784966 7710152 8632018 9569932 10714163 15420304 17264036 19139864 21428326 30840608 34528072 38279728 42856652 69056144 76559456 85713304 99268207 138112288 171426608 198536414 246425749 342853216 397072828 492851498 794145656 985702996 1588291312 1971405992 3176582624 3942811984 4358791963 7885623968 8717583926 17435167852 34870335704 69740671408 100252215149 139481342816 200504430298 401008860596 448955572189 802017721192 897911144378 1604035442384 1795822288756 3208070884768 3591644577512 7183289155024 10325978160347 14366578310048 20651956320694 41303912641388 82607825282776 165215650565552 330431301131104