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132123123013309 is a prime number
BaseRepresentation
bin11110000010101001001111…
…110100000101011010111101
3122022210211212121112021002221
4132002221033310011122331
5114304201123442411214
61145000305204245341
736554403104436151
oct3602511764053275
9568724777467087
10132123123013309
113910a11355326a
121299a41a6a0851
13589520702878c
14248ab16a5d061
151041c5b7bde24
hex782a4fd056bd

132123123013309 has 2 divisors, whose sum is σ = 132123123013310. Its totient is φ = 132123123013308.

The previous prime is 132123123013283. The next prime is 132123123013363. The reversal of 132123123013309 is 903310321321231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109991536659225 + 22131586354084 = 10487685^2 + 4704422^2 .

It is a cyclic number.

It is not a de Polignac number, because 132123123013309 - 27 = 132123123013181 is a prime.

It is a super-2 number, since 2×1321231230133092 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132123123011309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66061561506654 + 66061561506655.

It is an arithmetic number, because the mean of its divisors is an integer number (66061561506655).

Almost surely, 2132123123013309 is an apocalyptic number.

It is an amenable number.

132123123013309 is a deficient number, since it is larger than the sum of its proper divisors (1).

132123123013309 is an equidigital number, since it uses as much as digits as its factorization.

132123123013309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 34.

The spelling of 132123123013309 in words is "one hundred thirty-two trillion, one hundred twenty-three billion, one hundred twenty-three million, thirteen thousand, three hundred nine".