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444123131 is a prime number
BaseRepresentation
bin11010011110001…
…100011111111011
31010221200210101212
4122132030133323
51402143420011
6112023033335
714001661424
oct3236143773
91127623355
10444123131
11208772311
1210489b84b
137101ca6a
1442dac64b
1528ecc08b
hex1a78c7fb

444123131 has 2 divisors, whose sum is σ = 444123132. Its totient is φ = 444123130.

The previous prime is 444123107. The next prime is 444123151. The reversal of 444123131 is 131321444.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-444123131 is a prime.

It is a super-2 number, since 2×4441231312 = 394490710978486322, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 444123097 and 444123106.

It is not a weakly prime, because it can be changed into another prime (444123151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222061565 + 222061566.

It is an arithmetic number, because the mean of its divisors is an integer number (222061566).

Almost surely, 2444123131 is an apocalyptic number.

444123131 is a deficient number, since it is larger than the sum of its proper divisors (1).

444123131 is an equidigital number, since it uses as much as digits as its factorization.

444123131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1152, while the sum is 23.

The square root of 444123131 is about 21074.2290724952. The cubic root of 444123131 is about 762.9588779944.

Adding to 444123131 its reverse (131321444), we get a palindrome (575444575).

It can be divided in two parts, 4441 and 23131, that added together give a palindrome (27572).

The spelling of 444123131 in words is "four hundred forty-four million, one hundred twenty-three thousand, one hundred thirty-one".