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32200323213201 = 311132967106336341
BaseRepresentation
bin1110101001001001110001…
…10100111010011110010001
311020000022122220000020002220
413110210320310322132101
513210032230220310301
6152252342501531253
76532253012201643
oct724447064723621
9136008586006086
1032200323213201
11a295097aa1990
12374077b113b29
1314c7628c5a3b0
147d470ac14893
153ac90e7c2936
hex1d4938d3a791

32200323213201 has 128 divisors (see below), whose sum is σ = 53009034301440. Its totient is φ = 17116802841600.

The previous prime is 32200323213173. The next prime is 32200323213203. The reversal of 32200323213201 is 10231232300223.

It is not a de Polignac number, because 32200323213201 - 27 = 32200323213073 is a prime.

It is a super-2 number, since 2×322003232132012 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32200323213203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 886042291 + ... + 886078631.

It is an arithmetic number, because the mean of its divisors is an integer number (414133080480).

Almost surely, 232200323213201 is an apocalyptic number.

It is an amenable number.

32200323213201 is a deficient number, since it is larger than the sum of its proper divisors (20808711088239).

32200323213201 is a wasteful number, since it uses less digits than its factorization.

32200323213201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37527.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 32200323213201 its reverse (10231232300223), we get a palindrome (42431555513424).

The spelling of 32200323213201 in words is "thirty-two trillion, two hundred billion, three hundred twenty-three million, two hundred thirteen thousand, two hundred one".

Divisors: 1 3 11 13 29 33 39 67 87 143 201 319 377 429 737 871 957 1063 1131 1943 2211 2613 3189 4147 5829 9581 11693 12441 13819 21373 25259 28743 30827 35079 36341 41457 64119 71221 75777 92481 109023 152009 213663 277849 339097 399751 400751 456027 472433 783431 833547 925873 1017291 1053889 1199253 1202253 1417299 2065409 2350293 2434847 2777619 3161667 4408261 5196763 6196227 7304541 10184603 11592779 13224783 13700557 15590289 22719499 26783317 26850317 30553809 31653011 34778337 38630483 41101671 68158497 70610563 80349951 80550951 94959033 115891449 150706127 211831689 295353487 348183121 424935313 452118381 502196279 776716193 886060461 917937319 1044549363 1120284007 1274805939 1506588837 2330148579 2588242361 2753811957 3360852021 5524159069 7764727083 10097310509 12323124077 14563692091 16572477207 28470665971 30291931527 33647150693 36969372231 43691076273 75059028469 85411997913 100941452079 160200613001 225177085407 370118657623 480601839003 825649313159 975767370097 1110355972869 2476947939477 2927302110291 10733441071067 32200323213201