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201044413457 is a prime number
BaseRepresentation
bin1011101100111100101…
…1100100110000010001
3201012221010112101102022
42323033023210300101
511243214332212312
6232205235301225
720345032214126
oct2731713446021
9635833471368
10201044413457
117829836a518
1232b6944a815
1315c5c8099c4
149a32ab074d
155369eca172
hex2ecf2e4c11

201044413457 has 2 divisors, whose sum is σ = 201044413458. Its totient is φ = 201044413456.

The previous prime is 201044413399. The next prime is 201044413459. The reversal of 201044413457 is 754314440102.

201044413457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196389899281 + 4654514176 = 443159^2 + 68224^2 .

It is a cyclic number.

It is not a de Polignac number, because 201044413457 - 26 = 201044413393 is a prime.

Together with 201044413459, 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 (201044413459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100522206728 + 100522206729.

It is an arithmetic number, because the mean of its divisors is an integer number (100522206729).

Almost surely, 2201044413457 is an apocalyptic number.

It is an amenable number.

201044413457 is a deficient number, since it is larger than the sum of its proper divisors (1).

201044413457 is an equidigital number, since it uses as much as digits as its factorization.

201044413457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 53760, while the sum is 35.

Adding to 201044413457 its reverse (754314440102), we get a palindrome (955358853559).

The spelling of 201044413457 in words is "two hundred one billion, forty-four million, four hundred thirteen thousand, four hundred fifty-seven".