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124314220341 = 343724092741
BaseRepresentation
bin111001111000110110…
…1000111011100110101
3102212212200010201020000
41303301231013130311
54014043420022331
6133035325101513
711660423303163
oct1636155073465
9385780121200
10124314220341
11487a3155783
12201146b7899
13b951c4537c
1460342d2233
153378ae80e6
hex1cf1b47735

124314220341 has 60 divisors (see below), whose sum is σ = 191395082340. Its totient is φ = 80409749760.

The previous prime is 124314220271. The next prime is 124314220363. The reversal of 124314220341 is 143022413421.

124314220341 is a `hidden beast` number, since 1 + 2 + 4 + 314 + 2 + 2 + 0 + 341 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 38915847441 + 85398372900 = 197271^2 + 292230^2 .

It is not a de Polignac number, because 124314220341 - 221 = 124312123189 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 (124314220741) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 45352231 + ... + 45354971.

It is an arithmetic number, because the mean of its divisors is an integer number (3189918039).

Almost surely, 2124314220341 is an apocalyptic number.

It is an amenable number.

124314220341 is a deficient number, since it is larger than the sum of its proper divisors (67080861999).

124314220341 is an equidigital number, since it uses as much as digits as its factorization.

124314220341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3236 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 124314220341 its reverse (143022413421), we get a palindrome (267336633762).

The spelling of 124314220341 in words is "one hundred twenty-four billion, three hundred fourteen million, two hundred twenty thousand, three hundred forty-one".

Divisors: 1 3 9 27 37 81 111 333 409 999 1227 1369 2741 2997 3681 4107 8223 11043 12321 15133 24669 33129 36963 45399 74007 101417 110889 136197 222021 304251 408591 559921 912753 1121069 1225773 1679763 2738259 3363207 3752429 5039289 8214777 10089621 11257287 15117867 30268863 33771861 41479553 45353601 90806589 101315583 124438659 303946749 373315977 1119947931 1534743461 3359843793 4604230383 13812691149 41438073447 124314220341