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214304055520125 = 35310750952320063
BaseRepresentation
bin110000101110100010001101…
…000110100110101101111101
31001002210021020002122210211010
4300232202031012212231331
5211042124201203121000
62035441531325345433
763065646163162464
oct6056421506465575
91032707202583733
10214304055520125
116231392649a55a
122005168a708279
139276a2a301c7c
143acc52ba7b9db
1519b98186dbd50
hexc2e88d1a6b7d

214304055520125 has 128 divisors (see below), whose sum is σ = 361349391237120. Its totient is φ = 112783171334400.

The previous prime is 214304055520043. The next prime is 214304055520127. The reversal of 214304055520125 is 521025550403412.

It is not a de Polignac number, because 214304055520125 - 221 = 214304053422973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214304055520127) 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, 10681545844 + ... + 10681565906.

It is an arithmetic number, because the mean of its divisors is an integer number (2823042119040).

Almost surely, 2214304055520125 is an apocalyptic number.

214304055520125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

214304055520125 is a deficient number, since it is larger than the sum of its proper divisors (147045335716995).

214304055520125 is a wasteful number, since it uses less digits than its factorization.

214304055520125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21220 (or 21210 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 39.

The spelling of 214304055520125 in words is "two hundred fourteen trillion, three hundred four billion, fifty-five million, five hundred twenty thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 75 107 125 321 375 509 523 535 1527 1569 1605 2545 2615 2675 7635 7845 8025 12725 13075 13375 20063 38175 39225 40125 54463 55961 60189 63625 65375 100315 163389 167883 190875 196125 266207 272315 279805 300945 501575 798621 816945 839415 1331035 1361575 1399025 1504725 2146741 2507875 3993105 4084725 4197075 6440223 6655175 6807875 6995125 7523625 10212067 10492949 10733705 19965525 20423625 20985375 28484149 30636201 31478847 32201115 33275875 51060335 52464745 53668525 85452447 99827625 142420745 153181005 157394235 161005575 255301675 262323725 268342625 427262235 712103725 765905025 786971175 805027875 1092691169 1122745543 1276508375 1311618625 2136311175 3278073507 3368236629 3560518625 3829525125 3934855875 5340911041 5463455845 5613727715 10681555875 16022733123 16390367535 16841183145 26704555205 27317279225 28068638575 80113665615 81951837675 84205915725 133522776025 136586396125 140343192875 400568328075 409759188375 421029578625 571477481387 667613880125 1714432444161 2002841640375 2857387406935 8572162220805 14286937034675 42860811104025 71434685173375 214304055520125