Search a number
-
+
110400131 is a prime number
BaseRepresentation
bin1101001010010…
…01001010000011
321200201220111202
412211021022003
5211230301011
614542131415
72510246162
oct645111203
9250656452
10110400131
1157355286
1230b80b6b
1319b4552a
141093b3d9
159a5b23b
hex6949283

110400131 has 2 divisors, whose sum is σ = 110400132. Its totient is φ = 110400130.

The previous prime is 110400097. The next prime is 110400137. The reversal of 110400131 is 131004011.

It is a strong prime.

It is an emirp because it is prime and its reverse (131004011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110400131 - 26 = 110400067 is a prime.

It is a super-2 number, since 2×1104001312 = 24376377849634322, which contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (110400137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55200065 + 55200066.

It is an arithmetic number, because the mean of its divisors is an integer number (55200066).

Almost surely, 2110400131 is an apocalyptic number.

110400131 is a deficient number, since it is larger than the sum of its proper divisors (1).

110400131 is an equidigital number, since it uses as much as digits as its factorization.

110400131 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 11.

The square root of 110400131 is about 10507.1466631051. The cubic root of 110400131 is about 479.7222510610.

Adding to 110400131 its reverse (131004011), we get a palindrome (241404142).

The spelling of 110400131 in words is "one hundred ten million, four hundred thousand, one hundred thirty-one".