Search a number
-
+
401311111 is a prime number
BaseRepresentation
bin10111111010111…
…000010110000111
31000222010201100111
4113322320112013
51310213423421
6103453253451
712642042145
oct2772702607
91028121314
10401311111
11196590a83
12b2494287
13651b02c6
143b426595
1525371ee1
hex17eb8587

401311111 has 2 divisors, whose sum is σ = 401311112. Its totient is φ = 401311110.

The previous prime is 401311091. The next prime is 401311121. The reversal of 401311111 is 111113104.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 401311111 - 211 = 401309063 is a prime.

It is a super-2 number, since 2×4013111112 = 322101215624108642, which contains 22 as substring.

401311111 is a modest number, since divided by 11111 gives 4013 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 401311091 and 401311100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (401311121) 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, 200655555 + 200655556.

It is an arithmetic number, because the mean of its divisors is an integer number (200655556).

Almost surely, 2401311111 is an apocalyptic number.

401311111 is a deficient number, since it is larger than the sum of its proper divisors (1).

401311111 is an equidigital number, since it uses as much as digits as its factorization.

401311111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 401311111 is about 20032.7509593665. The cubic root of 401311111 is about 737.6104507946.

Adding to 401311111 its reverse (111113104), we get a palindrome (512424215).

The spelling of 401311111 in words is "four hundred one million, three hundred eleven thousand, one hundred eleven".