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105133303 = 1125737189
BaseRepresentation
bin1100100010000…
…11010011110111
321022211022210001
412101003103313
5203403231203
614233212131
72414422042
oct621032367
9238738701
10105133303
1154388230
122b261047
1318a20172
14dd69c59
15936a91d
hex64434f7

105133303 has 8 divisors (see below), whose sum is σ = 115140240. Its totient is φ = 95201280.

The previous prime is 105133283. The next prime is 105133309. The reversal of 105133303 is 303331501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105133303 - 25 = 105133271 is a prime.

It is a super-2 number, since 2×1051333032 = 22106022799379618, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105133309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15768 + ... + 21421.

It is an arithmetic number, because the mean of its divisors is an integer number (14392530).

Almost surely, 2105133303 is an apocalyptic number.

105133303 is a deficient number, since it is larger than the sum of its proper divisors (10006937).

105133303 is a wasteful number, since it uses less digits than its factorization.

105133303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37457.

The product of its (nonzero) digits is 405, while the sum is 19.

The square root of 105133303 is about 10253.4532231829. The cubic root of 105133303 is about 471.9689589253.

Adding to 105133303 its reverse (303331501), we get a palindrome (408464804).

The spelling of 105133303 in words is "one hundred five million, one hundred thirty-three thousand, three hundred three".

Divisors: 1 11 257 2827 37189 409079 9557573 105133303