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35354203113141 = 32115354171243859
BaseRepresentation
bin10000000100111100010101…
…01101111100011010110101
311122011211101012110100120100
420002132022231330122311
514113220401444110031
6203105255141424313
710306154053054653
oct1002361255743265
9148154335410510
1035354203113141
11102a06a6a7aa90
123b6ba6b10b099
131695b6baca813
148a321c8abdd3
1541499d545de6
hex20278ab7c6b5

35354203113141 has 48 divisors (see below), whose sum is σ = 56771302835520. Its totient is φ = 21018612975360.

The previous prime is 35354203113083. The next prime is 35354203113197. The reversal of 35354203113141 is 14131130245353.

35354203113141 is a `hidden beast` number, since 3 + 5 + 3 + 5 + 4 + 20 + 311 + 314 + 1 = 666.

35354203113141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 35354203113141 - 221 = 35354201015989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 35354203113096 and 35354203113105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35354203113841) 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, 27801070 + ... + 29044928.

It is an arithmetic number, because the mean of its divisors is an integer number (1182735475740).

Almost surely, 235354203113141 is an apocalyptic number.

It is an amenable number.

35354203113141 is a deficient number, since it is larger than the sum of its proper divisors (21417099722379).

35354203113141 is a wasteful number, since it uses less digits than its factorization.

35354203113141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249346 (or 1249343 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 35354203113141 its reverse (14131130245353), we get a palindrome (49485333358494).

The spelling of 35354203113141 in words is "thirty-five trillion, three hundred fifty-four billion, two hundred three million, one hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 53 99 159 477 583 1749 5247 5417 16251 48753 59587 178761 287101 536283 861303 1243859 2583909 3158111 3731577 9474333 11194731 13682449 28422999 41047347 65924527 123142041 197773581 593320743 725169797 2175509391 6526528173 6737984203 20213952609 60641857827 74117826233 222353478699 357113162759 667060436097 1071339488277 3214018464831 3928244790349 11784734371047 35354203113141