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132103000133 = 1326112814337
BaseRepresentation
bin111101100000111110…
…0111101000001000101
3110121222111002201110122
41323001330331001011
54131021332001013
6140404241431325
712354430655036
oct1730174750105
9417874081418
10132103000133
115102a777275
122172903b545
13c5c37a3100
1465728d6a8d
1536827bea08
hex1ec1f3d045

132103000133 has 12 divisors (see below), whose sum is σ = 145391478948. Its totient is φ = 119942184960.

The previous prime is 132103000111. The next prime is 132103000199. The reversal of 132103000133 is 331000301231.

It can be written as a sum of positive squares in 6 ways, for example, as 72838992769 + 59264007364 = 269887^2 + 243442^2 .

It is not a de Polignac number, because 132103000133 - 218 = 132102737989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132103030133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6396860 + ... + 6417477.

It is an arithmetic number, because the mean of its divisors is an integer number (12115956579).

Almost surely, 2132103000133 is an apocalyptic number.

132103000133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132103000133 is a deficient number, since it is larger than the sum of its proper divisors (13288478815).

132103000133 is a wasteful number, since it uses less digits than its factorization.

132103000133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12814424 (or 12814411 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 132103000133 its reverse (331000301231), we get a palindrome (463103301364).

The spelling of 132103000133 in words is "one hundred thirty-two billion, one hundred three million, one hundred thirty-three", and thus it is an aban number.

Divisors: 1 13 61 169 793 10309 12814337 166586381 781674557 2165622953 10161769241 132103000133