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133303023 = 337705307
BaseRepresentation
bin1111111001000…
…00101011101111
3100021211111101000
413330200223233
5233111144043
621121051343
73206025360
oct774405357
9307744330
10133303023
1169278597
1238786b53
1321804039
14139bdb67
15ba822d3
hex7f20aef

133303023 has 16 divisors (see below), whose sum is σ = 225698560. Its totient is φ = 76173048.

The previous prime is 133303021. The next prime is 133303033. The reversal of 133303023 is 320303331.

It is not a de Polignac number, because 133303023 - 21 = 133303021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133302987 and 133303005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133303021) 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, 352465 + ... + 352842.

It is an arithmetic number, because the mean of its divisors is an integer number (14106160).

Almost surely, 2133303023 is an apocalyptic number.

133303023 is a deficient number, since it is larger than the sum of its proper divisors (92395537).

133303023 is an equidigital number, since it uses as much as digits as its factorization.

133303023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705323 (or 705317 counting only the distinct ones).

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

The square root of 133303023 is about 11545.6928332604. The cubic root of 133303023 is about 510.8342401714.

Adding to 133303023 its reverse (320303331), we get a palindrome (453606354).

The spelling of 133303023 in words is "one hundred thirty-three million, three hundred three thousand, twenty-three".

Divisors: 1 3 7 9 21 27 63 189 705307 2115921 4937149 6347763 14811447 19043289 44434341 133303023