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204312044201141 is a prime number
BaseRepresentation
bin101110011101001000011010…
…110100010110010010110101
3222210102001002122112121011102
4232131020122310112102311
5203234422031303414031
62002311353553415445
761015025630263322
oct5635103264262265
9883361078477142
10204312044201141
115a111284602858
121aab906226a585
138a0070a255846
143864a8190bb49
151894959caa7cb
hexb9d21ad164b5

204312044201141 has 2 divisors, whose sum is σ = 204312044201142. Its totient is φ = 204312044201140.

The previous prime is 204312044201137. The next prime is 204312044201171. The reversal of 204312044201141 is 141102440213402.

204312044201141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201914721508900 + 2397322692241 = 14209670^2 + 1548329^2 .

It is a cyclic number.

It is not a de Polignac number, because 204312044201141 - 22 = 204312044201137 is a prime.

It is a super-2 number, since 2×2043120442011412 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (204312044201101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102156022100570 + 102156022100571.

It is an arithmetic number, because the mean of its divisors is an integer number (102156022100571).

Almost surely, 2204312044201141 is an apocalyptic number.

It is an amenable number.

204312044201141 is a deficient number, since it is larger than the sum of its proper divisors (1).

204312044201141 is an equidigital number, since it uses as much as digits as its factorization.

204312044201141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 204312044201141 its reverse (141102440213402), we get a palindrome (345414484414543).

The spelling of 204312044201141 in words is "two hundred four trillion, three hundred twelve billion, forty-four million, two hundred one thousand, one hundred forty-one".