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331202012313231 = 32175716435895959
BaseRepresentation
bin100101101001110011111101…
…0010010101111011010001111
31121102200121021200212120010100
41023103213322102233122033
5321402403210123010411
63132224034242542143
7126522361422226623
oct11323477222573217
91542617250776110
10331202012313231
1196592a91594354
1231191203967953
13112a62a5cc7847
145bb039768d183
1528454ced19456
hex12d39fa4af68f

331202012313231 has 48 divisors (see below), whose sum is σ = 508220620427520. Its totient is φ = 207126419569920.

The previous prime is 331202012313223. The next prime is 331202012313307. The reversal of 331202012313231 is 132313210202133.

331202012313231 is a `hidden beast` number, since 3 + 3 + 120 + 201 + 2 + 313 + 23 + 1 = 666.

It is not a de Polignac number, because 331202012313231 - 23 = 331202012313223 is a prime.

It is a super-2 number, since 2×3312020123132312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331202012313195 and 331202012313204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331202012313031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53226430 + ... + 59122388.

It is an arithmetic number, because the mean of its divisors is an integer number (10587929592240).

Almost surely, 2331202012313231 is an apocalyptic number.

331202012313231 is a deficient number, since it is larger than the sum of its proper divisors (177018608114289).

331202012313231 is a wasteful number, since it uses less digits than its factorization.

331202012313231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5897196 (or 5897193 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 331202012313231 its reverse (132313210202133), we get a palindrome (463515222515364).

The spelling of 331202012313231 in words is "three hundred thirty-one trillion, two hundred two billion, twelve million, three hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 9 17 51 153 571 643 1713 1929 5139 5787 9707 10931 29121 32793 87363 98379 367153 1101459 3304377 5895959 6241601 17687877 18724803 53063631 56174409 100231303 300693909 902081727 3366592589 3791101637 10099777767 11373304911 30299333301 34119914733 57232074013 64448727829 171696222039 193346183487 515088666117 580038550461 2164719034727 6494157104181 19482471312543 36800223590359 110400670771077 331202012313231