Search a number
-
+
3012004141 is a prime number
BaseRepresentation
bin1011001110000111…
…1000100100101101
321202220121122220221
42303201320210231
522132033113031
61214513411341
7134432420116
oct26341704455
97686548827
103012004141
11130621a323
12700869b51
13390028393
1420804d20d
15129665a11
hexb387892d

3012004141 has 2 divisors, whose sum is σ = 3012004142. Its totient is φ = 3012004140.

The previous prime is 3012004109. The next prime is 3012004147. The reversal of 3012004141 is 1414002103.

3012004141 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., 2707641225 + 304362916 = 52035^2 + 17446^2 .

It is a cyclic number.

It is not a de Polignac number, because 3012004141 - 25 = 3012004109 is a prime.

It is a super-2 number, since 2×30120041412 = 18144337890802295762, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3012004147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1506002070 + 1506002071.

It is an arithmetic number, because the mean of its divisors is an integer number (1506002071).

Almost surely, 23012004141 is an apocalyptic number.

It is an amenable number.

3012004141 is a deficient number, since it is larger than the sum of its proper divisors (1).

3012004141 is an equidigital number, since it uses as much as digits as its factorization.

3012004141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3012004141 is about 54881.7286626433. The cubic root of 3012004141 is about 1444.1706732489.

Adding to 3012004141 its reverse (1414002103), we get a palindrome (4426006244).

The spelling of 3012004141 in words is "three billion, twelve million, four thousand, one hundred forty-one".