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133033023 = 37591031
BaseRepresentation
bin1111110110111…
…10110000111111
3100021022210000000
413323132300333
5233024024043
621111205343
73203522244
oct773366077
9307283000
10133033023
1169103752
1238676853
132173b186
141394d5cb
15ba2c2d3
hex7edec3f

133033023 has 32 divisors (see below), whose sum is σ = 203097600. Its totient is φ = 87100920.

The previous prime is 133033001. The next prime is 133033031. The reversal of 133033023 is 320330331.

133033023 is a `hidden beast` number, since 1 + 330 + 330 + 2 + 3 = 666.

It is not a de Polignac number, because 133033023 - 210 = 133031999 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133032987 and 133033005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133033073) 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, 128518 + ... + 129548.

It is an arithmetic number, because the mean of its divisors is an integer number (6346800).

Almost surely, 2133033023 is an apocalyptic number.

133033023 is a deficient number, since it is larger than the sum of its proper divisors (70064577).

133033023 is an frugal number, since it uses more digits than its factorization.

133033023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 133033023 is about 11533.9942344359. The cubic root of 133033023 is about 510.4891155388.

Adding to 133033023 its reverse (320330331), we get a palindrome (453363354).

The spelling of 133033023 in words is "one hundred thirty-three million, thirty-three thousand, twenty-three".

Divisors: 1 3 9 27 59 81 177 243 531 729 1031 1593 2187 3093 4779 9279 14337 27837 43011 60829 83511 129033 182487 250533 547461 751599 1642383 2254797 4927149 14781447 44344341 133033023