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203114933131217 is a prime number
BaseRepresentation
bin101110001011101101100001…
…011100000001011111010001
3222122011121010220212100020012
4232023231201130001133101
5203110313340340144332
61555553413452524305
760532366251134042
oct5613554134013721
9878147126770205
10203114933131217
115979a617614688
121a945050180695
13894486b334023
143822b5ad568c9
151873743a243b2
hexb8bb617017d1

203114933131217 has 2 divisors, whose sum is σ = 203114933131218. Its totient is φ = 203114933131216.

The previous prime is 203114933131169. The next prime is 203114933131219. The reversal of 203114933131217 is 712131339411302.

203114933131217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164273668991041 + 38841264140176 = 12816929^2 + 6232276^2 .

It is a cyclic number.

It is not a de Polignac number, because 203114933131217 - 226 = 203114866022353 is a prime.

Together with 203114933131219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (203114933131219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101557466565608 + 101557466565609.

It is an arithmetic number, because the mean of its divisors is an integer number (101557466565609).

Almost surely, 2203114933131217 is an apocalyptic number.

It is an amenable number.

203114933131217 is a deficient number, since it is larger than the sum of its proper divisors (1).

203114933131217 is an equidigital number, since it uses as much as digits as its factorization.

203114933131217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81648, while the sum is 41.

The spelling of 203114933131217 in words is "two hundred three trillion, one hundred fourteen billion, nine hundred thirty-three million, one hundred thirty-one thousand, two hundred seventeen".