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2154083137 is a prime number
BaseRepresentation
bin1000000001100100…
…1011001101000001
312120010021202112221
42000121023031001
513402421130022
6553425251041
7104244255523
oct20031131501
95503252487
102154083137
11a05a185a8
12501493a81
1328437590b
14166127a13
15c919bcc7
hex8064b341

2154083137 has 2 divisors, whose sum is σ = 2154083138. Its totient is φ = 2154083136.

The previous prime is 2154083123. The next prime is 2154083177. The reversal of 2154083137 is 7313804512.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1737555856 + 416527281 = 41684^2 + 20409^2 .

It is a cyclic number.

It is not a de Polignac number, because 2154083137 - 215 = 2154050369 is a prime.

It is a super-2 number, since 2×21540831372 = 9280148322215521538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2154083117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1077041568 + 1077041569.

It is an arithmetic number, because the mean of its divisors is an integer number (1077041569).

Almost surely, 22154083137 is an apocalyptic number.

It is an amenable number.

2154083137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2154083137 is an equidigital number, since it uses as much as digits as its factorization.

2154083137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 2154083137 is about 46412.1011913919. The cubic root of 2154083137 is about 1291.4794110249.

Adding to 2154083137 its reverse (7313804512), we get a palindrome (9467887649).

The spelling of 2154083137 in words is "two billion, one hundred fifty-four million, eighty-three thousand, one hundred thirty-seven".