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2045152133 is a prime number
BaseRepresentation
bin111100111100110…
…1000101110000101
312021112022111022022
41321321220232011
513142024332013
6534534412525
7101452335443
oct17171505605
95245274268
102045152133
1195a487082
12490b01145
13267925cbb
1415588db93
15be831008
hex79e68b85

2045152133 has 2 divisors, whose sum is σ = 2045152134. Its totient is φ = 2045152132.

The previous prime is 2045152103. The next prime is 2045152169. The reversal of 2045152133 is 3312515402.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1529044609 + 516107524 = 39103^2 + 22718^2 .

It is a cyclic number.

It is not a de Polignac number, because 2045152133 - 26 = 2045152069 is a prime.

It is a super-2 number, since 2×20451521332 = 8365294494228899378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2045152103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1022576066 + 1022576067.

It is an arithmetic number, because the mean of its divisors is an integer number (1022576067).

Almost surely, 22045152133 is an apocalyptic number.

It is an amenable number.

2045152133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2045152133 is an equidigital number, since it uses as much as digits as its factorization.

2045152133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 2045152133 is about 45223.3582676033. The cubic root of 2045152133 is about 1269.3319347868.

Adding to 2045152133 its reverse (3312515402), we get a palindrome (5357667535).

The spelling of 2045152133 in words is "two billion, forty-five million, one hundred fifty-two thousand, one hundred thirty-three".