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222102001212021 = 32719416113740321
BaseRepresentation
bin110010100000000000100110…
…111000101101101001110101
31002010101202002100012212020200
4302200000212320231221311
5213102404344302241041
62104212130100351113
764532224432003410
oct6240004670555165
91063352070185220
10222102001212021
116484aa255514a7
1220ab0a329a5499
1396c118a0c6628
143cbbb19484b77
151aa25b1b8e1b6
hexca0026e2da75

222102001212021 has 96 divisors (see below), whose sum is σ = 395420075930880. Its totient is φ = 117283744972800.

The previous prime is 222102001212011. The next prime is 222102001212067. The reversal of 222102001212021 is 120212100201222.

It is a happy number.

222102001212021 is a `hidden beast` number, since 22 + 210 + 200 + 1 + 212 + 0 + 21 = 666.

It is not a de Polignac number, because 222102001212021 - 213 = 222102001203829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222102001211985 and 222102001212003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222102001212011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299637541 + ... + 300377861.

It is an arithmetic number, because the mean of its divisors is an integer number (4118959124280).

Almost surely, 2222102001212021 is an apocalyptic number.

222102001212021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

222102001212021 is a deficient number, since it is larger than the sum of its proper divisors (173318074718859).

222102001212021 is a wasteful number, since it uses less digits than its factorization.

222102001212021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746507 (or 746504 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222102001212021 its reverse (120212100201222), we get a palindrome (342314101413243).

The spelling of 222102001212021 in words is "two hundred twenty-two trillion, one hundred two billion, one million, two hundred twelve thousand, twenty-one".

Divisors: 1 3 7 9 19 21 41 57 63 123 133 171 287 369 399 779 861 1197 2337 2583 5453 6113 7011 16359 18339 42791 49077 55017 116147 128373 250633 348441 385119 740321 751899 813029 1045323 1754431 2220963 2255697 2439087 4762027 5182247 5263293 6662889 7317261 14066099 14286081 15546741 15789879 30353161 33334189 42198297 42858243 46640223 91059483 98462693 100002567 126594891 212472127 273178449 295388079 300007701 576710059 637416381 886164237 1730130177 1912249143 4036970413 4525582273 5190390531 12110911239 13576746819 31679075911 36332733717 40730240457 85986063187 95037227733 185548873193 257958189561 285111683199 556646619579 601902442309 773874568683 1298842112351 1669939858737 1805707326927 3525428590667 3896526337053 5417121980781 10576285772001 11689579011159 24678000134669 31728857316003 74034000404007 222102001212021