Search a number
-
+
105263133 = 3172063983
BaseRepresentation
bin1100100011000…
…11000000011101
321100001220212120
412101203000131
5203421410013
614240053153
72415502413
oct621430035
9240056776
10105263133
1154466828
122b3041b9
1318a672a1
14dda12b3
159394123
hex646301d

105263133 has 8 divisors (see below), whose sum is σ = 148606848. Its totient is φ = 66047424.

The previous prime is 105263129. The next prime is 105263143. The reversal of 105263133 is 331362501.

It is a happy number.

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

It is not a de Polignac number, because 105263133 - 22 = 105263129 is a prime.

It is a super-2 number, since 2×1052631332 = 22160654337951378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105263143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1031941 + ... + 1032042.

It is an arithmetic number, because the mean of its divisors is an integer number (18575856).

Almost surely, 2105263133 is an apocalyptic number.

It is an amenable number.

105263133 is a deficient number, since it is larger than the sum of its proper divisors (43343715).

105263133 is a wasteful number, since it uses less digits than its factorization.

105263133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064003.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 105263133 is about 10259.7823076321. The cubic root of 105263133 is about 472.1631584865.

The spelling of 105263133 in words is "one hundred five million, two hundred sixty-three thousand, one hundred thirty-three".

Divisors: 1 3 17 51 2063983 6191949 35087711 105263133