Search a number
-
+
104104141043331 = 3113136019973347
BaseRepresentation
bin10111101010111010100010…
…010110001011011010000011
3111122121020222120202100222210
4113222322202112023122003
5102121120240101341311
61005224440540433203
730633163443334452
oct2752724226133203
9448536876670883
10104104141043331
11301973556a2000
12b8140b6248803
134611c946569c0
141b9c94b15cb99
15c07ec32ea3a6
hex5eaea258b683

104104141043331 has 128 divisors (see below), whose sum is σ = 164907947215872. Its totient is φ = 58067501184000.

The previous prime is 104104141043323. The next prime is 104104141043359. The reversal of 104104141043331 is 133340141401401.

It is not a de Polignac number, because 104104141043331 - 23 = 104104141043323 is a prime.

It is a super-2 number, since 2×1041041410433312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104104141043381) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31103715400 + ... + 31103718746.

It is an arithmetic number, because the mean of its divisors is an integer number (1288343337624).

Almost surely, 2104104141043331 is an apocalyptic number.

104104141043331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

104104141043331 is a deficient number, since it is larger than the sum of its proper divisors (60803806172541).

104104141043331 is a wasteful number, since it uses less digits than its factorization.

104104141043331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4994 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 104104141043331 its reverse (133340141401401), we get a palindrome (237444282444732).

The spelling of 104104141043331 in words is "one hundred four trillion, one hundred four billion, one hundred forty-one million, forty-three thousand, three hundred thirty-one".

Divisors: 1 3 11 13 33 39 121 143 363 429 601 997 1331 1573 1803 2991 3347 3993 4719 6611 7813 10041 10967 12961 17303 19833 23439 32901 36817 38883 43511 51909 72721 85943 110451 120637 130533 142571 218163 257829 361911 404987 427713 478621 599197 799931 945373 1214961 1327007 1435863 1568281 1797591 2011547 2399793 2836119 3336959 3981021 4454857 4704843 5264831 6034641 6591167 7789561 10010877 10399103 13364571 15794493 17251091 19773501 22127017 23368683 26150111 31197309 36706549 43380467 51753273 57913141 66381051 72502837 78450333 85685171 110119647 130141401 173739423 217508511 243397187 257055513 287651221 403772039 477185137 730191561 797531207 862953663 942536881 1211316117 1431555411 2005512359 2392593621 2677369057 2827610643 3164163431 4441492429 5249036507 6016537077 8032107171 9492490293 10367905691 13324477287 15747109521 22060635949 26071660667 31103717073 34805797741 57739401577 66181907847 78214982001 104417393223 173218204731 242666995439 286788267337 728000986317 860364802011 2669336949829 3154670940707 8008010849487 9464012822121 34701380347777 104104141043331