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502302240231341 = 11291011992293131093
BaseRepresentation
bin111001000110101110101101…
…0100110010100111110101101
32102212111121212202202001210212
41302031131122212110332231
51011314204441444400331
64540150244043512205
7210542065525145114
oct16215353246247655
92385447782661725
10502302240231341
1113605a202688910
1248405657b28665
1318737b89c03224
148c077b579cc7b
153d11079aa1d2b
hex1c8d75a994fad

502302240231341 has 128 divisors (see below), whose sum is σ = 580239745920000. Its totient is φ = 430660758528000.

The previous prime is 502302240231317. The next prime is 502302240231361. The reversal of 502302240231341 is 143132042203205.

It is a de Polignac number, because none of the positive numbers 2k-502302240231341 is a prime.

It is a super-2 number, since 2×5023022402313412 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 502302240231298 and 502302240231307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (502302240231361) 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, 459562890791 + ... + 459562891883.

It is an arithmetic number, because the mean of its divisors is an integer number (4533123015000).

Almost surely, 2502302240231341 is an apocalyptic number.

It is an amenable number.

502302240231341 is a deficient number, since it is larger than the sum of its proper divisors (77937505688659).

502302240231341 is a wasteful number, since it uses less digits than its factorization.

502302240231341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975.

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 502302240231341 its reverse (143132042203205), we get a palindrome (645434282434546).

The spelling of 502302240231341 in words is "five hundred two trillion, three hundred two billion, two hundred forty million, two hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 11 29 101 199 229 313 319 1093 1111 2189 2519 2929 3443 5771 6641 9077 12023 20099 23129 31613 31697 32219 45571 62287 63481 71677 73051 99847 110393 217507 221089 250297 254419 342109 347743 348667 501281 582871 670741 685157 788447 916777 1214323 1321559 1806323 2078633 2392577 2753267 3201397 3763199 4602671 6290987 6307703 6411581 7239377 7258613 7378151 9921161 10084547 14263723 14537149 19869553 21968207 22864963 25279997 34553009 35215367 49809103 50629381 68079691 69200857 69384733 78342961 79633147 79844743 109132771 133477459 156900953 182438623 209941933 241650277 278079967 380083099 413647967 547900133 637078003 733119913 748876601 861772571 1002037261 1440636023 1444463987 1468252049 1974311039 2006824853 2271945869 2309361263 4550127637 5030719403 6876048791 7007858033 7912639061 8064319043 11022409871 15590249239 15846996253 15889103857 21717421429 24991404559 41778444667 55337913433 75636536701 87039029671 145890862687 171492741629 199405414939 229466532769 452117227931 459562891337 1574615173139 1604799489557 2193459564329 2524131860459 4973289507241 17320766904529 45663840021031 502302240231341