Search a number
-
+
2215100141 is a prime number
BaseRepresentation
bin1000010000000111…
…1011111011101101
312201101002202010222
42010001323323231
514014031201031
61003445141125
7105615016622
oct20401737355
95641082128
102215100141
11a37403581
125199ba7a5
13293bba757
1417028c349
15ce700e7b
hex8407beed

2215100141 has 2 divisors, whose sum is σ = 2215100142. Its totient is φ = 2215100140.

The previous prime is 2215100117. The next prime is 2215100149. The reversal of 2215100141 is 1410015122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1733473225 + 481626916 = 41635^2 + 21946^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2215100141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2215100149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1107550070 + 1107550071.

It is an arithmetic number, because the mean of its divisors is an integer number (1107550071).

Almost surely, 22215100141 is an apocalyptic number.

It is an amenable number.

2215100141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2215100141 is an equidigital number, since it uses as much as digits as its factorization.

2215100141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 2215100141 is about 47064.8503769002. The cubic root of 2215100141 is about 1303.5602881321.

Adding to 2215100141 its reverse (1410015122), we get a palindrome (3625115263).

The spelling of 2215100141 in words is "two billion, two hundred fifteen million, one hundred thousand, one hundred forty-one".