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45041302381 is a prime number
BaseRepresentation
bin101001111100101010…
…111011101101101101
311022021000011020021111
4221330222323231231
51214221033134011
632405223232021
73153110516245
oct517452735555
9138230136244
1045041302381
1118113706149
1288902a8611
13432a64271a
142273d40b25
15128939b121
hexa7cabbb6d

45041302381 has 2 divisors, whose sum is σ = 45041302382. Its totient is φ = 45041302380.

The previous prime is 45041302379. The next prime is 45041302387. The reversal of 45041302381 is 18320314054.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33815899881 + 11225402500 = 183891^2 + 105950^2 .

It is a cyclic number.

It is not a de Polignac number, because 45041302381 - 21 = 45041302379 is a prime.

It is a super-3 number, since 3×450413023813 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 45041302379, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45041302387) 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, 22520651190 + 22520651191.

It is an arithmetic number, because the mean of its divisors is an integer number (22520651191).

Almost surely, 245041302381 is an apocalyptic number.

It is an amenable number.

45041302381 is a deficient number, since it is larger than the sum of its proper divisors (1).

45041302381 is an equidigital number, since it uses as much as digits as its factorization.

45041302381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 45041302381 in words is "forty-five billion, forty-one million, three hundred two thousand, three hundred eighty-one".