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133052217 = 31723313659
BaseRepresentation
bin1111110111000…
…11011100111001
3100021100202022220
413323203130321
5233030132332
621111434253
73203632224
oct773433471
9307322286
10133052217
1169117111
1238685989
1321746b2c
14139565bb
15ba32d2c
hex7ee3739

133052217 has 32 divisors (see below), whose sum is σ = 202383360. Its totient is φ = 77256960.

The previous prime is 133052197. The next prime is 133052219. The reversal of 133052217 is 712250331.

It is not a de Polignac number, because 133052217 - 27 = 133052089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133052219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34534 + ... + 38192.

It is an arithmetic number, because the mean of its divisors is an integer number (6324480).

Almost surely, 2133052217 is an apocalyptic number.

133052217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

133052217 is a deficient number, since it is larger than the sum of its proper divisors (69331143).

133052217 is a wasteful number, since it uses less digits than its factorization.

133052217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3733.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 133052217 is about 11534.8262665720. The cubic root of 133052217 is about 510.5136654755.

The spelling of 133052217 in words is "one hundred thirty-three million, fifty-two thousand, two hundred seventeen".

Divisors: 1 3 17 23 31 51 69 93 391 527 713 1173 1581 2139 3659 10977 12121 36363 62203 84157 113429 186609 252471 340287 1430669 1928293 2608867 4292007 5784879 7826601 44350739 133052217