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135141431301243 = 32135911104827797
BaseRepresentation
bin11110101110100100010001…
…000000011101010001111011
3122201111101122201001221010100
4132232210101000131101323
5120203124122403114433
61155231041054050443
740315434435534063
oct3656442100352173
9581441581057110
10135141431301243
113a073182926714
12131a7393aa9a23
135a53a228c9243
142552c472b23a3
1510955134b5b13
hex7ae91101d47b

135141431301243 has 12 divisors (see below), whose sum is σ = 195218652595408. Its totient is φ = 90087658485840.

The previous prime is 135141431301211. The next prime is 135141431301259. The reversal of 135141431301243 is 342103134141531.

135141431301243 is a `hidden beast` number, since 1 + 3 + 5 + 141 + 431 + 30 + 12 + 43 = 666.

It is not a de Polignac number, because 135141431301243 - 25 = 135141431301211 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135141431301198 and 135141431301207.

It is not an unprimeable number, because it can be changed into a prime (135141431301203) 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 11 ways as a sum of consecutive naturals, for example, 552291580 + ... + 552536217.

Almost surely, 2135141431301243 is an apocalyptic number.

135141431301243 is a deficient number, since it is larger than the sum of its proper divisors (60077221294165).

135141431301243 is a wasteful number, since it uses less digits than its factorization.

135141431301243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104841394 (or 1104841391 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 135141431301243 its reverse (342103134141531), we get a palindrome (477244565442774).

The spelling of 135141431301243 in words is "one hundred thirty-five trillion, one hundred forty-one billion, four hundred thirty-one million, three hundred one thousand, two hundred forty-three".

Divisors: 1 3 9 13591 40773 122319 1104827797 3314483391 9943450173 15015714589027 45047143767081 135141431301243