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204240414140137 is a prime number
BaseRepresentation
bin101110011100000101101101…
…010101010110011011101001
3222210011012012121221110222001
4232130011231111112123221
5203232233332004441022
62002214430112531001
761006611600642244
oct5634055525263351
9883135177843861
10204240414140137
115a093967277831
121aaa71b1550a61
1389c6a331ab76b
14386140861825b
151892b6650db27
hexb9c16d5566e9

204240414140137 has 2 divisors, whose sum is σ = 204240414140138. Its totient is φ = 204240414140136.

The previous prime is 204240414140089. The next prime is 204240414140237. The reversal of 204240414140137 is 731041414042402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200785187477161 + 3455226662976 = 14169869^2 + 1858824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-204240414140137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 204240414140096 and 204240414140105.

It is not a weakly prime, because it can be changed into another prime (204240414140237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102120207070068 + 102120207070069.

It is an arithmetic number, because the mean of its divisors is an integer number (102120207070069).

Almost surely, 2204240414140137 is an apocalyptic number.

It is an amenable number.

204240414140137 is a deficient number, since it is larger than the sum of its proper divisors (1).

204240414140137 is an equidigital number, since it uses as much as digits as its factorization.

204240414140137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 86016, while the sum is 37.

Adding to 204240414140137 its reverse (731041414042402), we get a palindrome (935281828182539).

The spelling of 204240414140137 in words is "two hundred four trillion, two hundred forty billion, four hundred fourteen million, one hundred forty thousand, one hundred thirty-seven".