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133505871 = 3313314337
BaseRepresentation
bin1111111010100…
…10001101001111
3100022012210121220
413331102031033
5233134141441
621125254423
73210531642
oct775221517
9308183556
10133505871
11693a6a34
1238864413
1321875475
1413a33a59
15bac2466
hex7f5234f

133505871 has 16 divisors (see below), whose sum is σ = 184347648. Its totient is φ = 85852800.

The previous prime is 133505861. The next prime is 133505903. The reversal of 133505871 is 178505331.

It is not a de Polignac number, because 133505871 - 26 = 133505807 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133505851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28615 + ... + 32951.

It is an arithmetic number, because the mean of its divisors is an integer number (11521728).

Almost surely, 2133505871 is an apocalyptic number.

133505871 is a deficient number, since it is larger than the sum of its proper divisors (50841777).

133505871 is a wasteful number, since it uses less digits than its factorization.

133505871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702.

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 133505871 is about 11554.4740685156. The cubic root of 133505871 is about 511.0932220144.

The spelling of 133505871 in words is "one hundred thirty-three million, five hundred five thousand, eight hundred seventy-one".

Divisors: 1 3 31 93 331 993 4337 10261 13011 30783 134447 403341 1435547 4306641 44501957 133505871