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213402312041 is a prime number
BaseRepresentation
bin1100011010111111000…
…1001101110101101001
3202101211101002200022212
43012233301031311221
511444021442441131
6242011412054505
721263210503022
oct3065761156551
9671741080285
10213402312041
118255a050646
1235438004435
131717bb61929
14a486053c49
15583ed94a2b
hex31afc4dd69

213402312041 has 2 divisors, whose sum is σ = 213402312042. Its totient is φ = 213402312040.

The previous prime is 213402312007. The next prime is 213402312061. The reversal of 213402312041 is 140213204312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212171705641 + 1230606400 = 460621^2 + 35080^2 .

It is a cyclic number.

It is not a de Polignac number, because 213402312041 - 214 = 213402295657 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213402311998 and 213402312016.

It is not a weakly prime, because it can be changed into another prime (213402312061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106701156020 + 106701156021.

It is an arithmetic number, because the mean of its divisors is an integer number (106701156021).

Almost surely, 2213402312041 is an apocalyptic number.

It is an amenable number.

213402312041 is a deficient number, since it is larger than the sum of its proper divisors (1).

213402312041 is an equidigital number, since it uses as much as digits as its factorization.

213402312041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 213402312041 its reverse (140213204312), we get a palindrome (353615516353).

The spelling of 213402312041 in words is "two hundred thirteen billion, four hundred two million, three hundred twelve thousand, forty-one".