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133107327 = 3353191487
BaseRepresentation
bin1111110111100…
…00111001111111
3100021110112221000
413323300321333
5233033413302
621112541343
73204252003
oct773607177
9307415830
10133107327
1169154561
12386b1853
1321765c42
141396c703
15ba4431c
hex7ef0e7f

133107327 has 32 divisors (see below), whose sum is σ = 202383360. Its totient is φ = 86430240.

The previous prime is 133107323. The next prime is 133107343. The reversal of 133107327 is 723701331.

133107327 is a `hidden beast` number, since 1 + 331 + 0 + 7 + 327 = 666.

It is not a de Polignac number, because 133107327 - 22 = 133107323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 133107327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133107323) 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, 273078 + ... + 273564.

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

Almost surely, 2133107327 is an apocalyptic number.

133107327 is a deficient number, since it is larger than the sum of its proper divisors (69276033).

133107327 is a wasteful number, since it uses less digits than its factorization.

133107327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 133107327 is about 11537.2148718831. The cubic root of 133107327 is about 510.5841403744.

Adding to 133107327 its reverse (723701331), we get a palindrome (856808658).

The spelling of 133107327 in words is "one hundred thirty-three million, one hundred seven thousand, three hundred twenty-seven".

Divisors: 1 3 9 27 53 159 191 477 487 573 1431 1461 1719 4383 5157 10123 13149 25811 30369 77433 91107 93017 232299 273321 279051 696897 837153 2511459 4929901 14789703 44369109 133107327