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105233139 = 321110312
BaseRepresentation
bin1100100010110…
…11101011110011
321100000101201200
412101123223303
5203414430024
614235302243
72415316104
oct621335363
9240011650
10105233139
1154446240
122b2aa983
1318a5673b
14dd943ab
15938a2c9
hex645baf3

105233139 has 18 divisors (see below), whose sum is σ = 165982908. Its totient is φ = 63715800.

The previous prime is 105233137. The next prime is 105233159. The reversal of 105233139 is 931332501.

It is a happy number.

105233139 is a `hidden beast` number, since 1 + 0 + 523 + 3 + 139 = 666.

It is not a de Polignac number, because 105233139 - 21 = 105233137 is a prime.

It is a super-2 number, since 2×1052331392 = 22148027087586642, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105233137) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 101554 + ... + 102584.

Almost surely, 2105233139 is an apocalyptic number.

105233139 is a deficient number, since it is larger than the sum of its proper divisors (60749769).

105233139 is an equidigital number, since it uses as much as digits as its factorization.

105233139 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 105233139 is about 10258.3204765693. The cubic root of 105233139 is about 472.1183076867.

It can be divided in two parts, 1052 and 33139, that added together give a triangular number (34191 = T261).

The spelling of 105233139 in words is "one hundred five million, two hundred thirty-three thousand, one hundred thirty-nine".

Divisors: 1 3 9 11 33 99 1031 3093 9279 11341 34023 102069 1062961 3188883 9566649 11692571 35077713 105233139