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1829272141 is a prime number
BaseRepresentation
bin110110100001000…
…0111101001001101
311201111002122122001
41231002013221031
512221243202031
6501303352301
763221361634
oct15502075115
94644078561
101829272141
11859638264
12430752691
13231c9b968
14134d3651b
15aa8db861
hex6d087a4d

1829272141 has 2 divisors, whose sum is σ = 1829272142. Its totient is φ = 1829272140.

The previous prime is 1829272129. The next prime is 1829272153. The reversal of 1829272141 is 1412729281.

It is a balanced prime because it is at equal distance from previous prime (1829272129) and next prime (1829272153).

It can be written as a sum of positive squares in only one way, i.e., 1800220041 + 29052100 = 42429^2 + 5390^2 .

It is an emirp because it is prime and its reverse (1412729281) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1829272141 - 29 = 1829271629 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1829272141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1829272241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 914636070 + 914636071.

It is an arithmetic number, because the mean of its divisors is an integer number (914636071).

Almost surely, 21829272141 is an apocalyptic number.

It is an amenable number.

1829272141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1829272141 is an equidigital number, since it uses as much as digits as its factorization.

1829272141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16128, while the sum is 37.

The square root of 1829272141 is about 42769.9911269572. The cubic root of 1829272141 is about 1222.9990136351. Note that the first 3 decimals are identical.

The spelling of 1829272141 in words is "one billion, eight hundred twenty-nine million, two hundred seventy-two thousand, one hundred forty-one".