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2045201141 is a prime number
BaseRepresentation
bin111100111100111…
…0100101011110101
312021112101222112102
41321321310223311
513142032414031
6534535431445
7101452631354
oct17171645365
95245358472
102045201141
1195a50a985
12490b25585
132679423b9
141558a399b
15be8407cb
hex79e74af5

2045201141 has 2 divisors, whose sum is σ = 2045201142. Its totient is φ = 2045201140.

The previous prime is 2045201129. The next prime is 2045201143. The reversal of 2045201141 is 1411025402.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1417899025 + 627302116 = 37655^2 + 25046^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2045201141 is a prime.

Together with 2045201143, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2045201143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1022600570 + 1022600571.

It is an arithmetic number, because the mean of its divisors is an integer number (1022600571).

Almost surely, 22045201141 is an apocalyptic number.

It is an amenable number.

2045201141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2045201141 is an equidigital number, since it uses as much as digits as its factorization.

2045201141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2045201141 is about 45223.9001082392. The cubic root of 2045201141 is about 1269.3420737102.

Adding to 2045201141 its reverse (1411025402), we get a palindrome (3456226543).

The spelling of 2045201141 in words is "two billion, forty-five million, two hundred one thousand, one hundred forty-one".