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243201324224412 = 223410112376007999
BaseRepresentation
bin110111010011000010111000…
…100010100000111110011100
31011220002211010102212121020000
4313103002320202200332130
5223334102303000140122
62221125051310054300
7102140500350325131
oct6723027042407634
91156084112777200
10243201324224412
1170545114308734
122333a0674aa390
13a591a2bb42838
14440b014d02588
151d1b357d4c0ac
hexdd30b88a0f9c

243201324224412 has 120 divisors (see below), whose sum is σ = 642590278176000. Its totient is φ = 80199563702400.

The previous prime is 243201324224363. The next prime is 243201324224413. The reversal of 243201324224412 is 214422423102342.

243201324224412 is a `hidden beast` number, since 2 + 4 + 3 + 2 + 0 + 13 + 2 + 4 + 224 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243201324224413) 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 39 ways as a sum of consecutive naturals, for example, 37475589 + ... + 43483587.

It is an arithmetic number, because the mean of its divisors is an integer number (5354918984800).

Almost surely, 2243201324224412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243201324224412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321295139088000).

243201324224412 is an abundant number, since it is smaller than the sum of its proper divisors (399388953951588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

243201324224412 is a wasteful number, since it uses less digits than its factorization.

243201324224412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6009353 (or 6009342 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 243201324224412 its reverse (214422423102342), we get a palindrome (457623747326754).

The spelling of 243201324224412 in words is "two hundred forty-three trillion, two hundred one billion, three hundred twenty-four million, two hundred twenty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 303 324 404 606 909 1212 1237 1818 2474 2727 3636 3711 4948 5454 7422 8181 10908 11133 14844 16362 22266 32724 33399 44532 66798 100197 124937 133596 200394 249874 374811 400788 499748 749622 1124433 1499244 2248866 3373299 4497732 6007999 6746598 10119897 12015998 13493196 18023997 20239794 24031996 36047994 40479588 54071991 72095988 108143982 162215973 216287964 324431946 486647919 606807899 648863892 973295838 1213615798 1820423697 1946591676 2427231596 3640847394 5461271091 7281694788 7431894763 10922542182 14863789526 16383813273 21845084364 22295684289 29727579052 32767626546 44591368578 49151439819 65535253092 66887052867 89182737156 98302879638 133774105734 196605759276 200661158601 267548211468 401322317202 601983475803 750621371063 802644634404 1203966951606 1501242742126 2251864113189 2407933903212 3002485484252 4503728226378 6755592339567 9007456452756 13511184679134 20266777018701 27022369358268 40533554037402 60800331056103 81067108074804 121600662112206 243201324224412