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204101413001 is a prime number
BaseRepresentation
bin1011111000010101100…
…1000110100010001001
3201111211011211001102122
42332011121012202021
511320444430204001
6233432441341025
720513552246213
oct2760531064211
9644734731378
10204101413001
1179616a21522
1233681197775
1316328c5a585
149c42ab35b3
15549857cb1b
hex2f85646889

204101413001 has 2 divisors, whose sum is σ = 204101413002. Its totient is φ = 204101413000.

The previous prime is 204101412947. The next prime is 204101413003. The reversal of 204101413001 is 100314101402.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203924496400 + 176916601 = 451580^2 + 13301^2 .

It is a cyclic number.

It is not a de Polignac number, because 204101413001 - 214 = 204101396617 is a prime.

Together with 204101413003, 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 (204101413003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102050706500 + 102050706501.

It is an arithmetic number, because the mean of its divisors is an integer number (102050706501).

Almost surely, 2204101413001 is an apocalyptic number.

It is an amenable number.

204101413001 is a deficient number, since it is larger than the sum of its proper divisors (1).

204101413001 is an equidigital number, since it uses as much as digits as its factorization.

204101413001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 204101413001 its reverse (100314101402), we get a palindrome (304415514403).

The spelling of 204101413001 in words is "two hundred four billion, one hundred one million, four hundred thirteen thousand, one".