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132305012133 = 37163201719163
BaseRepresentation
bin111101100110111111…
…1100100010110100101
3110122111120012222211120
41323031333210112211
54131430040342013
6140440255324153
712362433022230
oct1731577442645
9418446188746
10132305012133
1151123803938
1221784820659
13c6265b3138
146591680417
1536953c5123
hex1ecdfe45a5

132305012133 has 32 divisors (see below), whose sum is σ = 202955652096. Its totient is φ = 75097870848.

The previous prime is 132305012117. The next prime is 132305012137. The reversal of 132305012133 is 331210503231.

It is not a de Polignac number, because 132305012133 - 24 = 132305012117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132305012137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6894610 + ... + 6913772.

It is an arithmetic number, because the mean of its divisors is an integer number (6342364128).

Almost surely, 2132305012133 is an apocalyptic number.

It is an amenable number.

132305012133 is a deficient number, since it is larger than the sum of its proper divisors (70650639963).

132305012133 is a wasteful number, since it uses less digits than its factorization.

132305012133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21353.

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

Adding to 132305012133 its reverse (331210503231), we get a palindrome (463515515364).

The spelling of 132305012133 in words is "one hundred thirty-two billion, three hundred five million, twelve thousand, one hundred thirty-three".

Divisors: 1 3 7 21 163 489 1141 2017 3423 6051 14119 19163 42357 57489 134141 328771 402423 986313 2301397 3123569 6904191 9370707 21864983 38651771 65594949 115955313 270562397 811687191 6300238673 18900716019 44101670711 132305012133