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10041103403331 = 3721113372348919
BaseRepresentation
bin1001001000011110000001…
…1001101100100101000011
31022112220211202112111010220
42102013200121230211003
52304003134432401311
633204452541354123
72054305621454400
oct222074031544503
938486752474126
1010041103403331
113221454111340
121162049268943
1357ab449b0860
14269dc60832a7
151262d3734206
hex921e066c943

10041103403331 has 144 divisors (see below), whose sum is σ = 18804599573760. Its totient is φ = 4684768462080.

The previous prime is 10041103403299. The next prime is 10041103403351. The reversal of 10041103403331 is 13330430114001.

It is not a de Polignac number, because 10041103403331 - 25 = 10041103403299 is a prime.

It is a super-2 number, since 2×100411034033312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10041103403351) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28603290 + ... + 28952208.

It is an arithmetic number, because the mean of its divisors is an integer number (130587497040).

Almost surely, 210041103403331 is an apocalyptic number.

10041103403331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10041103403331 is a deficient number, since it is larger than the sum of its proper divisors (8763496170429).

10041103403331 is a wasteful number, since it uses less digits than its factorization.

10041103403331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349034 (or 348990 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10041103403331 its reverse (13330430114001), we get a palindrome (23371533517332).

The spelling of 10041103403331 in words is "ten trillion, forty-one billion, one hundred three million, four hundred three thousand, three hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 37 39 49 77 91 111 143 147 231 259 273 407 429 481 539 637 777 1001 1221 1369 1443 1617 1813 1911 2849 3003 3367 4107 5291 5439 7007 8547 9583 10101 15059 15873 17797 19943 21021 23569 28749 37037 45177 53391 59829 67081 70707 105413 111111 124579 195767 201243 259259 316239 348919 373737 587301 737891 777777 872053 1046757 1370369 2213673 2442433 2616159 3838109 4111107 4535947 7327299 9592583 11514327 12910003 13607841 17097031 26866763 28777749 31751629 38730009 49895417 51291093 80600289 90370021 95254887 142010033 149686251 167830039 188067341 222261403 271110063 349267919 426030099 477670111 503490117 564202023 632590147 666784209 994070231 1047803757 1174810273 1433010333 1846130429 1897770441 2444875433 2982210693 3343690777 3524430819 5254371221 5538391287 6209711443 6958491617 7334626299 8223671911 10031072331 12922913003 15763113663 18629134329 20875474851 23405835439 24671015733 36780598547 38768739009 43467980101 68306825873 70217506317 90460391021 110341795641 130403940303 204920477619 257464189829 271381173063 304275860707 478147781111 772392569487 912827582121 1434443343333 3347034467777 10041103403331