Search a number
-
+
1003122440431 = 3161530471941
BaseRepresentation
bin11101001100011101100…
…00011011100011101111
310112220020022211211111221
432212032300123203233
5112413343321043211
62044454511124211
7132321211025626
oct16461660334357
93486208754457
101003122440431
11357470514681
121424b3813667
137379514ca27
14367a10026bd
151b160943c71
hexe98ec1b8ef

1003122440431 has 8 divisors (see below), whose sum is σ = 1052456332928. Its totient is φ = 954849492000.

The previous prime is 1003122440401. The next prime is 1003122440471. The reversal of 1003122440431 is 1340442213001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1003122440431 - 217 = 1003122309359 is a prime.

It is a super-2 number, since 2×10031224404312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003122440396 and 1003122440405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003122440401) 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 in 7 ways as a sum of consecutive naturals, for example, 265234080 + ... + 265237861.

It is an arithmetic number, because the mean of its divisors is an integer number (131557041616).

Almost surely, 21003122440431 is an apocalyptic number.

1003122440431 is a deficient number, since it is larger than the sum of its proper divisors (49333892497).

1003122440431 is an equidigital number, since it uses as much as digits as its factorization.

1003122440431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530472033.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1003122440431 its reverse (1340442213001), we get a palindrome (2343564653432).

The spelling of 1003122440431 in words is "one trillion, three billion, one hundred twenty-two million, four hundred forty thousand, four hundred thirty-one".

Divisors: 1 31 61 1891 530471941 16444630171 32358788401 1003122440431