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130100121233 = 2934928614493
BaseRepresentation
bin111100100101010010…
…0100100111010010001
3110102210220022221010122
41321022210210322101
54112421112334413
6135433413040025
712254000532665
oct1711244447221
9412726287118
10130100121233
11501a2143755
122126a326015
13c36485b574
1464228cc8a5
1535b6a3e108
hex1e4a924e91

130100121233 has 16 divisors (see below), whose sum is σ = 135049194000. Its totient is φ = 125182337280.

The previous prime is 130100121223. The next prime is 130100121247. The reversal of 130100121233 is 332121001031.

It can be written as a sum of positive squares in 8 ways, for example, as 32835976849 + 97264144384 = 181207^2 + 311872^2 .

It is not a de Polignac number, because 130100121233 - 210 = 130100120209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130100121223) 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, 28953935 + ... + 28958427.

It is an arithmetic number, because the mean of its divisors is an integer number (8440574625).

Almost surely, 2130100121233 is an apocalyptic number.

It is an amenable number.

130100121233 is a deficient number, since it is larger than the sum of its proper divisors (4949072767).

130100121233 is a wasteful number, since it uses less digits than its factorization.

130100121233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7732.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 130100121233 its reverse (332121001031), we get a palindrome (462221122264).

The spelling of 130100121233 in words is "one hundred thirty billion, one hundred million, one hundred twenty-one thousand, two hundred thirty-three".

Divisors: 1 29 349 2861 4493 10121 82969 130297 998489 1568057 12854473 28956181 45473653 372779717 4486211077 130100121233