Search a number
-
+
2905072141 is a prime number
BaseRepresentation
bin1010110100100111…
…1110001000001101
321111110101221210111
42231021332020031
521422144302031
61200133440021
7131663464036
oct25511761015
97443357714
102905072141
111260923774
12690aa0011
13373b285ca
141d7b75a8d
151200921b1
hexad27e20d

2905072141 has 2 divisors, whose sum is σ = 2905072142. Its totient is φ = 2905072140.

The previous prime is 2905072117. The next prime is 2905072151. The reversal of 2905072141 is 1412705092.

2905072141 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., 2583587241 + 321484900 = 50829^2 + 17930^2 .

It is a cyclic number.

It is not a de Polignac number, because 2905072141 - 213 = 2905063949 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2905072151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1452536070 + 1452536071.

It is an arithmetic number, because the mean of its divisors is an integer number (1452536071).

Almost surely, 22905072141 is an apocalyptic number.

It is an amenable number.

2905072141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2905072141 is an equidigital number, since it uses as much as digits as its factorization.

2905072141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 2905072141 is about 53898.7211443834. The cubic root of 2905072141 is about 1426.8740527838.

The spelling of 2905072141 in words is "two billion, nine hundred five million, seventy-two thousand, one hundred forty-one".