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201044317657 is a prime number
BaseRepresentation
bin1011101100111100101…
…1001101010111011001
3201012221010100112000011
42323033023031113121
511243214321131112
6232205233241521
720345031334621
oct2731713152731
9635833315004
10201044317657
1178298304547
1232b694032a1
1315c5c7a5211
149a32a87881
155369eabaa7
hex2ecf2cd5d9

201044317657 has 2 divisors, whose sum is σ = 201044317658. Its totient is φ = 201044317656.

The previous prime is 201044317609. The next prime is 201044317679. The reversal of 201044317657 is 756713440102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 188196321856 + 12847995801 = 433816^2 + 113349^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201044317657 is a prime.

It is not a weakly prime, because it can be changed into another prime (201044317157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100522158828 + 100522158829.

It is an arithmetic number, because the mean of its divisors is an integer number (100522158829).

Almost surely, 2201044317657 is an apocalyptic number.

It is an amenable number.

201044317657 is a deficient number, since it is larger than the sum of its proper divisors (1).

201044317657 is an equidigital number, since it uses as much as digits as its factorization.

201044317657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 141120, while the sum is 40.

Adding to 201044317657 its reverse (756713440102), we get a palindrome (957757757759).

The spelling of 201044317657 in words is "two hundred one billion, forty-four million, three hundred seventeen thousand, six hundred fifty-seven".