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223240543102641 = 31131427461476297
BaseRepresentation
bin110010110000100100111101…
…010001010110011010110001
31002021102120212021122112102210
4302300210331101112122301
5213230033113013241031
62110443142324402333
765010411524255121
oct6260447521263261
91067376767575383
10223240543102641
1165149867792359
122105561a2463a9
139774653b3b12c
143d1ac855dcc81
151ac1eeb104746
hexcb093d4566b1

223240543102641 has 16 divisors (see below), whose sum is σ = 300498598016064. Its totient is φ = 147406604373504.

The previous prime is 223240543102637. The next prime is 223240543102673. The reversal of 223240543102641 is 146201345042322.

It is not a de Polignac number, because 223240543102641 - 22 = 223240543102637 is a prime.

It is a super-3 number, since 3×2232405431026413 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 223240543102641.

It is not an unprimeable number, because it can be changed into a prime (223240543102741) 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 15 ways as a sum of consecutive naturals, for example, 230254396 + ... + 231221901.

It is an arithmetic number, because the mean of its divisors is an integer number (18781162376004).

Almost surely, 2223240543102641 is an apocalyptic number.

It is an amenable number.

223240543102641 is a deficient number, since it is larger than the sum of its proper divisors (77258054913423).

223240543102641 is a wasteful number, since it uses less digits than its factorization.

223240543102641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461477840.

The product of its (nonzero) digits is 276480, while the sum is 39.

Adding to 223240543102641 its reverse (146201345042322), we get a palindrome (369441888144963).

The spelling of 223240543102641 in words is "two hundred twenty-three trillion, two hundred forty billion, five hundred forty-three million, one hundred two thousand, six hundred forty-one".

Divisors: 1 3 113 339 1427 4281 161251 483753 461476297 1384428891 52146821561 156440464683 658526675819 1975580027457 74413514367547 223240543102641