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213705663171 = 3711131729144349
BaseRepresentation
bin1100011100000111011…
…0011010001011000011
3202102121111220111211220
43013001312122023003
512000132122210141
6242101450010123
721303553110450
oct3070166321303
9672544814756
10213705663171
11826a5303860
1235501716943
13171c9963b40
14a4b445a827
15585b816766
hex31c1d9a2c3

213705663171 has 128 divisors (see below), whose sum is σ = 419053824000. Its totient is φ = 93121781760.

The previous prime is 213705663163. The next prime is 213705663233. The reversal of 213705663171 is 171366507312.

It is not a de Polignac number, because 213705663171 - 23 = 213705663163 is a prime.

It is a super-3 number, since 3×2137056631713 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (213705663131) 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, 1408305 + ... + 1552653.

It is an arithmetic number, because the mean of its divisors is an integer number (3273858000).

Almost surely, 2213705663171 is an apocalyptic number.

213705663171 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213705663171 is a deficient number, since it is larger than the sum of its proper divisors (205348160829).

213705663171 is a wasteful number, since it uses less digits than its factorization.

213705663171 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144429.

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 213705663171 in words is "two hundred thirteen billion, seven hundred five million, six hundred sixty-three thousand, one hundred seventy-one".

Divisors: 1 3 7 11 13 17 21 29 33 39 51 77 87 91 119 143 187 203 221 231 273 319 357 377 429 493 561 609 663 957 1001 1131 1309 1479 1547 2233 2431 2639 3003 3451 3927 4147 4641 5423 6409 6699 7293 7917 10353 12441 16269 17017 19227 29029 37961 44863 51051 70499 87087 113883 134589 144349 211497 433047 493493 1010443 1480479 1587839 1876537 2453933 3031329 4186121 4763517 5629611 7361799 11114873 12558363 13135759 17177531 20641907 26993263 29302847 31901129 33344619 39407277 46047331 51532593 54419573 61925721 71164057 80979789 87908541 95703387 138141993 144493349 163258719 188952841 213492171 223307903 322331317 350912419 380937011 433480047 498148399 566858523 598615303 669923709 782804627 925132741 966993951 1052737257 1142811033 1494445197 1795845909 2348413881 2456386933 2775398223 4190307121 5479632389 6475929187 7369160799 10176460151 12570921363 16438897167 19427787561 30529380453 71235221057 213705663171