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204431433310441 is a prime number
BaseRepresentation
bin101110011110110111100110…
…111101101010000011101001
3222210211110021002012202011101
4232132313212331222003221
5203243401033411413231
62002442300504401401
761026453331050301
oct5636674675520351
9883743232182141
10204431433310441
115a15797a650727
121ab18221476261
138a0ba55a0020c
14386a769a74601
151897ae62e1661
hexb9ede6f6a0e9

204431433310441 has 2 divisors, whose sum is σ = 204431433310442. Its totient is φ = 204431433310440.

The previous prime is 204431433310439. The next prime is 204431433310451. The reversal of 204431433310441 is 144013334134402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190727258643216 + 13704174667225 = 13810404^2 + 3701915^2 .

It is a cyclic number.

It is not a de Polignac number, because 204431433310441 - 21 = 204431433310439 is a prime.

It is a super-2 number, since 2×2044314333104412 (a number of 29 digits) contains 22 as substring.

Together with 204431433310439, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 204431433310441.

It is not a weakly prime, because it can be changed into another prime (204431433310421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102215716655220 + 102215716655221.

It is an arithmetic number, because the mean of its divisors is an integer number (102215716655221).

Almost surely, 2204431433310441 is an apocalyptic number.

It is an amenable number.

204431433310441 is a deficient number, since it is larger than the sum of its proper divisors (1).

204431433310441 is an equidigital number, since it uses as much as digits as its factorization.

204431433310441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 204431433310441 its reverse (144013334134402), we get a palindrome (348444767444843).

The spelling of 204431433310441 in words is "two hundred four trillion, four hundred thirty-one billion, four hundred thirty-three million, three hundred ten thousand, four hundred forty-one".