Search a number
-
+
131023003031 is a prime number
BaseRepresentation
bin111101000000110010…
…1000101110110010111
3110112012012220011221222
41322001211011312113
54121313342044111
6140105141400555
712315605102324
oct1720145056627
9415165804858
10131023003031
1150626084488
122148740915b
13c480b06c7b
1464ad2c3b4b
15361ca8a7db
hex1e81945d97

131023003031 has 2 divisors, whose sum is σ = 131023003032. Its totient is φ = 131023003030.

The previous prime is 131023003021. The next prime is 131023003079. The reversal of 131023003031 is 130300320131.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131023003031 is a prime.

It is a super-2 number, since 2×1310230030312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131023003021) 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, 65511501515 + 65511501516.

It is an arithmetic number, because the mean of its divisors is an integer number (65511501516).

Almost surely, 2131023003031 is an apocalyptic number.

131023003031 is a deficient number, since it is larger than the sum of its proper divisors (1).

131023003031 is an equidigital number, since it uses as much as digits as its factorization.

131023003031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 131023003031 its reverse (130300320131), we get a palindrome (261323323162).

The spelling of 131023003031 in words is "one hundred thirty-one billion, twenty-three million, three thousand, thirty-one".