Search a number
-
+
124411320033 = 37111323786131
BaseRepresentation
bin111001111011101111…
…1100001011011100001
3102220010102211212221220
41303313133201123201
54014243244220113
6133053114205253
711663012525520
oct1636737413341
9386112755856
10124411320033
1148842a46160
1220141123829
13b9690b1a00
14604316a4b7
1533823c8523
hex1cf77e16e1

124411320033 has 96 divisors (see below), whose sum is σ = 230001380352. Its totient is φ = 58044729600.

The previous prime is 124411319983. The next prime is 124411320053. The reversal of 124411320033 is 330023114421.

It is a happy number.

It is not a de Polignac number, because 124411320033 - 213 = 124411311841 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 124411319985 and 124411320012.

It is not an unprimeable number, because it can be changed into a prime (124411320053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1401378 + ... + 1487508.

It is an arithmetic number, because the mean of its divisors is an integer number (2395847712).

Almost surely, 2124411320033 is an apocalyptic number.

124411320033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

124411320033 is a deficient number, since it is larger than the sum of its proper divisors (105590060319).

124411320033 is a wasteful number, since it uses less digits than its factorization.

124411320033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86215 (or 86202 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 124411320033 its reverse (330023114421), we get a palindrome (454434434454).

It can be divided in two parts, 124411 and 320033, that added together give a palindrome (444444).

The spelling of 124411320033 in words is "one hundred twenty-four billion, four hundred eleven million, three hundred twenty thousand, thirty-three".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 169 231 259 273 407 429 481 507 777 1001 1183 1221 1443 1859 2849 3003 3367 3549 5291 5577 6253 8547 10101 13013 15873 18759 37037 39039 43771 68783 86131 111111 131313 206349 258393 481481 602917 947441 1119703 1444443 1808751 2842323 3186847 3359109 6632087 7837921 9560541 12316733 14556139 19896261 22307929 23513763 35055317 36950199 41429011 43668417 66923787 86217131 101892973 105165951 124287033 160117529 245387219 258651393 290003077 305678919 455719121 480352587 538577143 736161657 870009231 1120822703 1367157363 1615731429 3190033847 3362468109 3770040001 5924348573 9570101541 11310120003 17773045719 41470440011 124411320033