Search a number
-
+
41111000011157 is a prime number
BaseRepresentation
bin10010101100011111001101…
…00011010101000110010101
312101120011200021110020120212
421112033212203111012111
520342030312000324112
6223234044354135205
711442112622241446
oct1126174643250625
9171504607406525
1041111000011157
111211009382127a
12473b706881505
1319c299b2a247b
14a21ad68572cd
154b45d1260522
hex2563e68d5195

41111000011157 has 2 divisors, whose sum is σ = 41111000011158. Its totient is φ = 41111000011156.

The previous prime is 41111000011099. The next prime is 41111000011163. The reversal of 41111000011157 is 75111000011114.

It is a happy number.

41111000011157 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., 40019781602161 + 1091218408996 = 6326119^2 + 1044614^2 .

It is a cyclic number.

It is not a de Polignac number, because 41111000011157 - 210 = 41111000010133 is a prime.

It is a super-2 number, since 2×411110000111572 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41111000071157) 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, 20555500005578 + 20555500005579.

It is an arithmetic number, because the mean of its divisors is an integer number (20555500005579).

Almost surely, 241111000011157 is an apocalyptic number.

It is an amenable number.

41111000011157 is a deficient number, since it is larger than the sum of its proper divisors (1).

41111000011157 is an equidigital number, since it uses as much as digits as its factorization.

41111000011157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 23.

The spelling of 41111000011157 in words is "forty-one trillion, one hundred eleven billion, eleven thousand, one hundred fifty-seven".