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133082701335 = 3257433980341
BaseRepresentation
bin111101111110001011…
…0001101111000010111
3110201111202120200212100
41323330112031320113
54140023132420320
6141045400053143
712420625203543
oct1737426157027
9421452520770
10133082701335
1151492796291
12219611641b3
13c71b753b6c
146626a7ca23
1536dd7e1790
hex1efc58de17

133082701335 has 24 divisors (see below), whose sum is σ = 230987206944. Its totient is φ = 70881894720.

The previous prime is 133082701331. The next prime is 133082701337. The reversal of 133082701335 is 533107280331.

133082701335 is a `hidden beast` number, since 13 + 308 + 2 + 7 + 0 + 1 + 335 = 666.

It is not a de Polignac number, because 133082701335 - 22 = 133082701331 is a prime.

It is a super-2 number, since 2×1330827013352 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133082701335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133082701331) 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 23 ways as a sum of consecutive naturals, for example, 1956736 + ... + 2023605.

It is an arithmetic number, because the mean of its divisors is an integer number (9624466956).

Almost surely, 2133082701335 is an apocalyptic number.

133082701335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

133082701335 is a deficient number, since it is larger than the sum of its proper divisors (97904505609).

133082701335 is a wasteful number, since it uses less digits than its factorization.

133082701335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981095 (or 3981092 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 133082701335 its reverse (533107280331), we get a palindrome (666189981666).

The spelling of 133082701335 in words is "one hundred thirty-three billion, eighty-two million, seven hundred one thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 45 743 2229 3715 6687 11145 33435 3980341 11941023 19901705 35823069 59705115 179115345 2957393363 8872180089 14786966815 26616540267 44360900445 133082701335