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30123214200321 = 31129371138119283
BaseRepresentation
bin1101101100101100110110…
…11110110101111000000001
310221122202021120221122220220
412312112123132311320001
512422014320313402241
6144022225155053253
76226221220664064
oct666263336657001
9127582246848826
1030123214200321
119664202118480
1234660b75a1229
1313a67b74c77a8
14761d855368db
15373892035166
hex1b659b7b5e01

30123214200321 has 128 divisors (see below), whose sum is σ = 47026439792640. Its totient is φ = 16975990886400.

The previous prime is 30123214200319. The next prime is 30123214200323. The reversal of 30123214200321 is 12300241232103.

It is an interprime number because it is at equal distance from previous prime (30123214200319) and next prime (30123214200323).

It is not a de Polignac number, because 30123214200321 - 21 = 30123214200319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30123214200291 and 30123214200300.

It is not an unprimeable number, because it can be changed into a prime (30123214200323) 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, 3244982346 + ... + 3244991628.

It is an arithmetic number, because the mean of its divisors is an integer number (367394060880).

Almost surely, 230123214200321 is an apocalyptic number.

It is an amenable number.

30123214200321 is a deficient number, since it is larger than the sum of its proper divisors (16903225592319).

30123214200321 is a wasteful number, since it uses less digits than its factorization.

30123214200321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10287.

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

Adding to 30123214200321 its reverse (12300241232103), we get a palindrome (42423455432424).

The spelling of 30123214200321 in words is "thirty trillion, one hundred twenty-three billion, two hundred fourteen million, two hundred thousand, three hundred twenty-one".

Divisors: 1 3 11 29 33 37 87 111 113 319 339 407 811 957 1073 1221 1243 2433 3219 3277 3729 4181 8921 9283 9831 11803 12543 23519 26763 27849 30007 35409 36047 45991 70557 90021 91643 102113 108141 121249 137973 258709 269207 274929 306339 330077 343471 363747 776127 807621 870203 990231 1008073 1030413 1048979 1333739 2610609 2657647 2961277 3024219 3146937 3390791 3778181 4001217 7528513 7972941 8883831 9572233 9960659 10172373 11334543 11538769 22585539 28716699 29234117 29881977 30420391 34616307 37298701 38812223 82813643 87702351 91261173 98332939 109567249 111896103 116436669 218326877 248440929 278554981 294998817 328701747 334624301 426934453 654980631 835664943 850721969 1003872903 1081662329 1125554467 1280803359 2401595647 2552165907 3064104791 3244986987 3376663401 7204786941 8078094449 9192314373 9357941659 12381099137 24234283347 24670937101 28073824977 31476712853 37143297411 74012811303 88859038939 94430138559 266577116817 271380308111 346243841383 814140924333 912824672737 1038731524149 2738474018211 10041071400107 30123214200321