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32123400017 is a prime number
BaseRepresentation
bin11101111010101101…
…000010111101010001
310001220201211210121012
4131322231002331101
51011242042300032
622431323540305
72215022252312
oct357255027521
9101821753535
1032123400017
1112694904985
12628608a695
13304c286b07
1417aa466609
15c802646b2
hex77ab42f51

32123400017 has 2 divisors, whose sum is σ = 32123400018. Its totient is φ = 32123400016.

The previous prime is 32123399993. The next prime is 32123400019. The reversal of 32123400017 is 71000432123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21432667201 + 10690732816 = 146399^2 + 103396^2 .

It is an emirp because it is prime and its reverse (71000432123) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 32123400017 - 220 = 32122351441 is a prime.

Together with 32123400019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 32123399965 and 32123400001.

It is not a weakly prime, because it can be changed into another prime (32123400019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16061700008 + 16061700009.

It is an arithmetic number, because the mean of its divisors is an integer number (16061700009).

Almost surely, 232123400017 is an apocalyptic number.

It is an amenable number.

32123400017 is a deficient number, since it is larger than the sum of its proper divisors (1).

32123400017 is an equidigital number, since it uses as much as digits as its factorization.

32123400017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 23.

The spelling of 32123400017 in words is "thirty-two billion, one hundred twenty-three million, four hundred thousand, seventeen".