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203344044303141 = 327171013187427167
BaseRepresentation
bin101110001111000010111001…
…100001110010001100100101
3222122222111112001221210012100
4232033002321201302030211
5203123042100320200031
62000250544144242313
760555056660021310
oct5617027141621445
9878874461853170
10203344044303141
11598787a7928155
121a981531010399
138960351833a01
14382dc933d3977
1518796a2a50de6
hexb8f0b9872325

203344044303141 has 48 divisors (see below), whose sum is σ = 355775749714944. Its totient is φ = 109253544187392.

The previous prime is 203344044303119. The next prime is 203344044303149. The reversal of 203344044303141 is 141303440443302.

203344044303141 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 440 + 44 + 30 + 3 + 141 = 666.

It is not a de Polignac number, because 203344044303141 - 215 = 203344044270373 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 203344044303096 and 203344044303105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203344044303149) 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 47 ways as a sum of consecutive naturals, for example, 92628661 + ... + 94798506.

It is an arithmetic number, because the mean of its divisors is an integer number (7411994785728).

Almost surely, 2203344044303141 is an apocalyptic number.

203344044303141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

203344044303141 is a deficient number, since it is larger than the sum of its proper divisors (152431705411803).

203344044303141 is a wasteful number, since it uses less digits than its factorization.

203344044303141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187428210 (or 187428207 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 203344044303141 its reverse (141303440443302), we get a palindrome (344647484746443).

The spelling of 203344044303141 in words is "two hundred three trillion, three hundred forty-four billion, forty-four million, three hundred three thousand, one hundred forty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1013 1071 3039 7091 9117 17221 21273 51663 63819 120547 154989 361641 1084923 187427167 562281501 1311990169 1686844503 3186261839 3935970507 9558785517 11807911521 22303832873 28676356551 66911498619 189863720171 200734495857 569591160513 1329046041197 1708773481539 3227683242907 3987138123591 9683049728721 11961414370773 22593782700349 29049149186163 67781348101047 203344044303141