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30321112121223 = 37112959101375731
BaseRepresentation
bin1101110010011101011110…
…00111011111111110000111
310222100200002102210122222220
412321032233013133332013
512433240114200334343
6144253154314223423
76246425265364440
oct671165707377607
9128320072718886
1030321112121223
119730125360520
123498527124b73
1313bc36517b681
1476b79a38a2c7
15378ac5b81183
hex1b93af1dff87

30321112121223 has 128 divisors (see below), whose sum is σ = 53078801817600. Its totient is φ = 14935361548800.

The previous prime is 30321112121221. The next prime is 30321112121233. The reversal of 30321112121223 is 32212121112303.

It is not a de Polignac number, because 30321112121223 - 21 = 30321112121221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30321112121193 and 30321112121202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30321112121221) 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, 400341268 + ... + 400416998.

It is an arithmetic number, because the mean of its divisors is an integer number (414678139200).

Almost surely, 230321112121223 is an apocalyptic number.

30321112121223 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

30321112121223 is a deficient number, since it is larger than the sum of its proper divisors (22757689696377).

30321112121223 is a wasteful number, since it uses less digits than its factorization.

30321112121223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76853.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 30321112121223 its reverse (32212121112303), we get a palindrome (62533233233526).

The spelling of 30321112121223 in words is "thirty trillion, three hundred twenty-one billion, one hundred twelve million, one hundred twenty-one thousand, two hundred twenty-three".

Divisors: 1 3 7 11 21 29 33 59 77 87 177 203 231 319 413 609 649 957 1013 1239 1711 1947 2233 3039 4543 5133 6699 7091 11143 11977 13629 18821 21273 29377 33429 35931 56463 59767 75731 78001 88131 131747 179301 205639 227193 234003 323147 395241 418369 530117 616917 657437 833041 969441 1255107 1590351 1733243 1972311 2196199 2262029 2499123 4468129 4602059 5199729 5831287 6588597 6786087 12132701 13404387 13806177 15373393 17493861 19065673 24158189 31276903 36398103 46120179 49149419 57197019 72474567 76715503 93830709 129575741 133459711 147448257 169107323 230146509 344045933 388727223 400379133 507321969 537008521 843870533 907030187 1032137799 1425333151 1611025563 2224749587 2531611599 2721090561 4275999453 4526214677 5907093731 6674248761 9977332057 13578644031 15573247109 17721281193 24472245457 29931996171 31683502739 46719741327 49788361447 73416736371 95050508217 131260225633 149365084341 171305718199 348518530129 393780676899 513917154597 918821579431 1045555590387 1443862481963 2756464738293 4331587445889 10107037373741 30321112121223