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332331020013332 = 2217241711813171169
BaseRepresentation
bin100101110010000001101100…
…0011001010100111100010100
31121120200112110012001011200002
41023210003120121110330110
5322024402412110411312
63134450432444110432
7130000060324312454
oct11344033031247424
91546615405034602
10332331020013332
1196988880a4480a
1231333b8a235418
13113588b06c57b2
145c0cc9b499d64
152864a5c2344c2
hex12e40d8654f14

332331020013332 has 48 divisors (see below), whose sum is σ = 616100354709840. Its totient is φ = 156312216993792.

The previous prime is 332331020013287. The next prime is 332331020013373. The reversal of 332331020013332 is 233310020133233.

It can be written as a sum of positive squares in 8 ways, for example, as 10457423634436 + 321873596378896 = 3233794^2 + 17940836^2 .

It is a super-2 number, since 2×3323310200133322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332331020013295 and 332331020013304.

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, 1941451844 + ... + 1941623012.

It is an arithmetic number, because the mean of its divisors is an integer number (12835424056455).

Almost surely, 2332331020013332 is an apocalyptic number.

It is an amenable number.

332331020013332 is a deficient number, since it is larger than the sum of its proper divisors (283769334696508).

332331020013332 is a wasteful number, since it uses less digits than its factorization.

332331020013332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185420 (or 185418 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 332331020013332 its reverse (233310020133233), we get a palindrome (565641040146565).

The spelling of 332331020013332 in words is "three hundred thirty-two trillion, three hundred thirty-one billion, twenty million, thirteen thousand, three hundred thirty-two".

Divisors: 1 2 4 17 34 68 2417 4834 9668 11813 23626 41089 47252 82178 164356 171169 200821 342338 401642 684676 803284 2909873 5819746 11639492 28552021 57104042 114208084 413715473 485384357 827430946 970768714 1654861892 1941537428 2022019397 4044038794 7033163041 8088077588 14066326082 28132652164 34374329749 68748659498 137497318996 4887220882549 9774441765098 19548883530196 83082755003333 166165510006666 332331020013332