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4104224313111 = 3313315371100237
BaseRepresentation
bin111011101110010110110…
…101010000111100010111
3112112100201110010101101000
4323232112311100330113
51014220422411004421
612421242110434343
7602343335024226
oct73562665207427
915470643111330
104104224313111
11134265669a72a
125635145029b3
1323a046847520
14102907424cbd
1571b60ec8226
hex3bb96d50f17

4104224313111 has 128 divisors (see below), whose sum is σ = 6983878164480. Its totient is φ = 2364286579200.

The previous prime is 4104224313103. The next prime is 4104224313121. The reversal of 4104224313111 is 1113134224014.

It is a happy number.

4104224313111 is a `hidden beast` number, since 4 + 10 + 4 + 224 + 313 + 111 = 666.

It is not a de Polignac number, because 4104224313111 - 23 = 4104224313103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4104224313121) 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, 40895085 + ... + 40995321.

It is an arithmetic number, because the mean of its divisors is an integer number (54561548160).

Almost surely, 24104224313111 is an apocalyptic number.

4104224313111 is a deficient number, since it is larger than the sum of its proper divisors (2879653851369).

4104224313111 is a wasteful number, since it uses less digits than its factorization.

4104224313111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100414 (or 100408 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 4104224313111 its reverse (1113134224014), we get a palindrome (5217358537125).

The spelling of 4104224313111 in words is "four trillion, one hundred four billion, two hundred twenty-four million, three hundred thirteen thousand, one hundred eleven".

Divisors: 1 3 9 13 27 31 39 53 71 93 117 159 213 279 351 403 477 639 689 837 923 1209 1431 1643 1917 2067 2201 2769 3627 3763 4929 6201 6603 8307 10881 11289 14787 18603 19809 21359 24921 28613 33867 44361 48919 59427 64077 85839 100237 101601 116653 146757 192231 257517 300711 349959 440271 576693 772551 902133 1049877 1303081 1320813 1516489 2706399 3107347 3149631 3909243 4549467 5312561 7116827 9322041 11727729 13648401 15937683 21350481 27966123 35183187 40395511 40945203 47813049 64051443 69063293 83898369 92518751 121186533 143439147 164689391 192154329 207189879 220621637 277556253 363559599 377191831 494068173 621569637 661864911 832668759 1090678797 1131575493 1482204519 1864708911 1985594733 2140962083 2498006277 2868081281 3394726479 4446613557 4903493803 5956784199 6422886249 8604243843 10184179437 11692946761 14710481409 19268658747 25812731529 35078840283 44131444227 57805976241 77438194587 105236520849 132394332681 152008307893 315709562547 456024923679 1368074771037 4104224313111