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214630666443213 = 317417111314838627
BaseRepresentation
bin110000110011010010011000…
…101000011001100111001101
31001010221111021011201210102020
4300303102120220121213031
5211113002101102140323
62040251544511120353
763131360666212236
oct6063223050314715
91033844234653366
10214630666443213
116242a399885179
12200a4a3bb130b9
13929b77b3258c7
143b002730a208d
1519c30821c8ae3
hexc33498a199cd

214630666443213 has 128 divisors (see below), whose sum is σ = 317806790160384. Its totient is φ = 128287307366400.

The previous prime is 214630666443191. The next prime is 214630666443229. The reversal of 214630666443213 is 312344666036412.

It is not a de Polignac number, because 214630666443213 - 212 = 214630666439117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214630666443013) 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, 24878941606 + ... + 24878950232.

It is an arithmetic number, because the mean of its divisors is an integer number (2482865548128).

Almost surely, 2214630666443213 is an apocalyptic number.

It is an amenable number.

214630666443213 is a deficient number, since it is larger than the sum of its proper divisors (103176123717171).

214630666443213 is a wasteful number, since it uses less digits than its factorization.

214630666443213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10355.

The product of its (nonzero) digits is 8957952, while the sum is 51.

The spelling of 214630666443213 in words is "two hundred fourteen trillion, six hundred thirty billion, six hundred sixty-six million, four hundred forty-three thousand, two hundred thirteen".

Divisors: 1 3 17 41 51 71 113 123 213 339 697 1207 1483 1921 2091 2911 3621 4449 4633 5763 8023 8627 8733 13899 24069 25211 25881 49487 60803 75633 78761 105293 136391 146659 148461 167579 182409 236283 315879 328943 353707 409173 439977 502737 612517 974851 986829 1033651 1061121 1789981 1837551 2848843 2924553 3100953 4317013 5369943 5592031 6013019 6870739 8546529 10412789 11898109 12793841 12951039 16572467 16776093 18039057 20612217 25113197 31238367 35694327 38381523 39968891 49717401 69214421 73389221 75339591 116802563 119906673 202267853 207643263 217495297 220167663 350407689 426924349 487822469 524547481 606803559 652485891 679471147 908362711 1176645157 1280773047 1445704033 1463467407 1573642443 2038413441 2725088133 2837791261 3529935471 4337112099 8292981973 8513373783 8917307177 15442166087 24576968561 24878945919 26751921531 37242871151 46326498261 48242451437 59273865353 73730905683 102644986343 111728613453 144727354311 177821596059 307934959029 633128809567 1007655711001 1744964767831 1899386428701 3022967133003 4208444440063 5234894303493 12625333320189 71543555481071 214630666443213