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2054144129 is a prime number
BaseRepresentation
bin111101001101111…
…1100000010000001
312022011020100000012
41322123330002001
513201330103004
6535455234305
7101621636252
oct17233740201
95264210005
102054144129
11964568984
12493b18995
13269753acb
14156b50b29
15c050a46e
hex7a6fc081

2054144129 has 2 divisors, whose sum is σ = 2054144130. Its totient is φ = 2054144128.

The previous prime is 2054144087. The next prime is 2054144143. The reversal of 2054144129 is 9214414502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1813056400 + 241087729 = 42580^2 + 15527^2 .

It is a cyclic number.

It is not a de Polignac number, because 2054144129 - 28 = 2054143873 is a prime.

It is a super-3 number, since 3×20541441293 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2054144095 and 2054144104.

It is not a weakly prime, because it can be changed into another prime (2054144159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1027072064 + 1027072065.

It is an arithmetic number, because the mean of its divisors is an integer number (1027072065).

Almost surely, 22054144129 is an apocalyptic number.

It is an amenable number.

2054144129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2054144129 is an equidigital number, since it uses as much as digits as its factorization.

2054144129 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 32.

The square root of 2054144129 is about 45322.6668345983. Note that the first 3 decimals coincide. The cubic root of 2054144129 is about 1271.1895212178.

The spelling of 2054144129 in words is "two billion, fifty-four million, one hundred forty-four thousand, one hundred twenty-nine".