Search a number
-
+
124235130225141 = 321317131677704287
BaseRepresentation
bin11100001111110110111110…
…110011100100000111110101
3121021212202120211110202121200
4130033312332303210013311
5112240432021314201031
61120120455251403113
735111456225136615
oct3417667663440765
9537782524422550
10124235130225141
11366489062330a1
1211b257258b3499
135442426732330
142297025db8a45
15e56992c8a8e6
hex70fdbece41f5

124235130225141 has 96 divisors (see below), whose sum is σ = 206489421186048. Its totient is φ = 71300337039360.

The previous prime is 124235130225133. The next prime is 124235130225251. The reversal of 124235130225141 is 141522031532421.

124235130225141 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 3 + 5 + 130 + 2 + 2 + 514 + 1 = 666.

It is not a de Polignac number, because 124235130225141 - 23 = 124235130225133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 124235130225096 and 124235130225105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124235130225541) 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 95 ways as a sum of consecutive naturals, for example, 176046300 + ... + 176750586.

It is an arithmetic number, because the mean of its divisors is an integer number (2150931470688).

Almost surely, 2124235130225141 is an apocalyptic number.

It is an amenable number.

124235130225141 is a deficient number, since it is larger than the sum of its proper divisors (82254290960907).

124235130225141 is a wasteful number, since it uses less digits than its factorization.

124235130225141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705131 (or 705128 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 124235130225141 its reverse (141522031532421), we get a palindrome (265757161757562).

The spelling of 124235130225141 in words is "one hundred twenty-four trillion, two hundred thirty-five billion, one hundred thirty million, two hundred twenty-five thousand, one hundred forty-one".

Divisors: 1 3 9 13 17 39 51 117 131 153 221 393 663 677 1179 1703 1989 2031 2227 5109 6093 6681 8801 11509 15327 20043 26403 28951 34527 79209 86853 88687 103581 149617 260559 266061 448851 704287 798183 1152931 1346553 1507679 2112861 3458793 4523037 6338583 9155731 10376379 11972879 13569111 19599827 27467193 35918637 58799481 82401579 92261597 107755911 155647427 176398443 276784791 466942281 476802299 830354373 1199400761 1400826843 1430406897 1568447149 3598202283 4291220691 4705341447 6198429887 8105639083 10794606849 14116024341 18595289661 20389812937 24316917249 55785868983 61169438811 62461101169 72950751747 105373308079 183508316433 187383303507 316119924237 562149910521 811994315197 948359772711 1061838719873 2435982945591 3185516159619 7307948836773 9556548478857 13803903358349 41411710075047 124235130225141