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2803001141 is a prime number
BaseRepresentation
bin1010011100010010…
…0110011100110101
321020100100012201002
42213010212130311
521220032014031
61142050013045
7126314054663
oct24704463465
97210305632
102803001141
111209248276
12662877185
1335893b275
141c83a5c33
1511612dccb
hexa7126735

2803001141 has 2 divisors, whose sum is σ = 2803001142. Its totient is φ = 2803001140.

The previous prime is 2803001107. The next prime is 2803001153. The reversal of 2803001141 is 1411003082.

2803001141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1905759025 + 897242116 = 43655^2 + 29954^2 .

It is a cyclic number.

It is not a de Polignac number, because 2803001141 - 26 = 2803001077 is a prime.

It is a super-3 number, since 3×28030011413 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2803001101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1401500570 + 1401500571.

It is an arithmetic number, because the mean of its divisors is an integer number (1401500571).

Almost surely, 22803001141 is an apocalyptic number.

It is an amenable number.

2803001141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2803001141 is an equidigital number, since it uses as much as digits as its factorization.

2803001141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 2803001141 is about 52943.3767434606. The cubic root of 2803001141 is about 1409.9631365377.

The spelling of 2803001141 in words is "two billion, eight hundred three million, one thousand, one hundred forty-one".