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2111414141 is a prime number
BaseRepresentation
bin111110111011001…
…1001111101111101
312110010222221200202
41331312121331331
513311010223031
6545302533245
7103215503234
oct17566317575
95403887622
102111414141
11993924771
124ab137225
132785862a5
141605bbb1b
15c556e2cb
hex7dd99f7d

2111414141 has 2 divisors, whose sum is σ = 2111414142. Its totient is φ = 2111414140.

The previous prime is 2111414111. The next prime is 2111414171. The reversal of 2111414141 is 1414141112.

It is a balanced prime because it is at equal distance from previous prime (2111414111) and next prime (2111414171).

It can be written as a sum of positive squares in only one way, i.e., 1899129241 + 212284900 = 43579^2 + 14570^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111414141 - 26 = 2111414077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2111414101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055707070 + 1055707071.

It is an arithmetic number, because the mean of its divisors is an integer number (1055707071).

Almost surely, 22111414141 is an apocalyptic number.

It is an amenable number.

2111414141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111414141 is an equidigital number, since it uses as much as digits as its factorization.

2111414141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 128, while the sum is 20.

The square root of 2111414141 is about 45950.1266701192. The cubic root of 2111414141 is about 1282.8950870085.

Adding to 2111414141 its reverse (1414141112), we get a palindrome (3525555253).

The spelling of 2111414141 in words is "two billion, one hundred eleven million, four hundred fourteen thousand, one hundred forty-one".