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124130124041 = 7114170955457
BaseRepresentation
bin111001110011010111…
…0110110000100001001
3102212101211201122120112
41303212232312010021
54013204302432131
6133005151204105
711653026434240
oct1634656660411
9385354648515
10124130124041
1148709245480
1220082b16635
13b922a68b51
146017a8d957
15336788102b
hex1ce6bb6109

124130124041 has 32 divisors (see below), whose sum is σ = 158760725760. Its totient is φ = 94230835200.

The previous prime is 124130124023. The next prime is 124130124067. The reversal of 124130124041 is 140421031421.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-124130124041 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 124130123998 and 124130124016.

It is not an unprimeable number, because it can be changed into a prime (124130124541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2210585 + ... + 2266041.

It is an arithmetic number, because the mean of its divisors is an integer number (4961272680).

Almost surely, 2124130124041 is an apocalyptic number.

124130124041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

124130124041 is a deficient number, since it is larger than the sum of its proper divisors (34630601719).

124130124041 is a wasteful number, since it uses less digits than its factorization.

124130124041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56225.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 124130124041 its reverse (140421031421), we get a palindrome (264551155462).

The spelling of 124130124041 in words is "one hundred twenty-four billion, one hundred thirty million, one hundred twenty-four thousand, forty-one".

Divisors: 1 7 11 41 77 287 451 709 3157 4963 7799 29069 54593 55457 203483 319759 388199 610027 2238313 2273737 4270189 15916159 25011107 39319013 175077749 275233091 432509143 1612079533 3027564001 11284556731 17732874863 124130124041