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331241335051041 = 34375317471193683
BaseRepresentation
bin100101101010000110010001…
…0000111000101001100100001
31121102211100210011112121120000
41023110030202013011030201
5321404024223233113131
63132254100225410213
7126525253034050242
oct11324144207051441
91542740704477500
10331241335051041
11965a8730213278
1231198958a99969
13112a9c0196c33c
145bb2247d20cc9
152846532120ce6
hex12d43221c5321

331241335051041 has 80 divisors (see below), whose sum is σ = 518076064148544. Its totient is φ = 210684452823936.

The previous prime is 331241335050979. The next prime is 331241335051093. The reversal of 331241335051041 is 140150533142133.

331241335051041 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 4 + 133 + 5 + 0 + 510 + 4 + 1 = 666.

It is not a de Polignac number, because 331241335051041 - 247 = 190503846695713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331241335050987 and 331241335051005.

It is not an unprimeable number, because it can be changed into a prime (331241335051441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 276898386 + ... + 278092068.

Almost surely, 2331241335051041 is an apocalyptic number.

It is an amenable number.

331241335051041 is a deficient number, since it is larger than the sum of its proper divisors (186834729097503).

331241335051041 is a wasteful number, since it uses less digits than its factorization.

331241335051041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195532 (or 1195523 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 331241335051041 its reverse (140150533142133), we get a palindrome (471391868193174).

The spelling of 331241335051041 in words is "three hundred thirty-one trillion, two hundred forty-one billion, three hundred thirty-five million, fifty-one thousand, forty-one".

Divisors: 1 3 9 27 37 53 81 111 159 333 477 999 1431 1747 1961 2997 4293 5241 5883 15723 17649 47169 52947 64639 92591 141507 158841 193917 277773 581751 833319 1193683 1745253 2499957 3425867 3581049 5235759 7499871 10277601 10743147 30832803 32229441 44166271 63265199 92498409 96688323 132498813 189795597 277495227 397496439 569386791 1192489317 1708160373 2085364201 2340812363 3577467951 5124481119 6256092603 7022437089 18768277809 21067311267 56304833427 63201933801 77158475437 110524302653 168914500281 189605801403 231475426311 331572907959 694426278933 994718723877 2083278836799 2984156171631 4089399198161 6249836510397 8952468514893 12268197594483 36804592783449 110413778350347 331241335051041