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2135041533 = 3219109114547
BaseRepresentation
bin111111101000010…
…0010010111111101
312111210110100101100
41333100202113331
513333032312113
6551505203313
7103623360612
oct17720422775
95453410340
102135041533
119a61a2339
124b7030539
132804397b1
141637ac509
15c7689d73
hex7f4225fd

2135041533 has 24 divisors (see below), whose sum is σ = 3276072800. Its totient is φ = 1336064544.

The previous prime is 2135041511. The next prime is 2135041553. The reversal of 2135041533 is 3351405312.

2135041533 is a `hidden beast` number, since 2 + 1 + 3 + 504 + 153 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-2135041533 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2135041497 and 2135041506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135041553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38635 + ... + 75912.

Almost surely, 22135041533 is an apocalyptic number.

It is an amenable number.

2135041533 is a deficient number, since it is larger than the sum of its proper divisors (1141031267).

2135041533 is a wasteful number, since it uses less digits than its factorization.

2135041533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114681 (or 114678 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2135041533 is about 46206.5096387944. The cubic root of 2135041533 is about 1287.6626812754.

Adding to 2135041533 its reverse (3351405312), we get a palindrome (5486446845).

The spelling of 2135041533 in words is "two billion, one hundred thirty-five million, forty-one thousand, five hundred thirty-three".

Divisors: 1 3 9 19 57 109 171 327 981 2071 6213 18639 114547 343641 1030923 2176393 6529179 12485623 19587537 37456869 112370607 237226837 711680511 2135041533