Search a number
-
+
131414241029 is a prime number
BaseRepresentation
bin111101001100011100…
…1100010111100000101
3110120012111002010121012
41322120321202330011
54123114021203104
6140212035132005
712331365422021
oct1723071427405
9416174063535
10131414241029
1150806a05375
1221576444005
13c513b9b346
146509247381
1536420bcd6e
hex1e98e62f05

131414241029 has 2 divisors, whose sum is σ = 131414241030. Its totient is φ = 131414241028.

The previous prime is 131414241011. The next prime is 131414241043. The reversal of 131414241029 is 920142414131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116192356900 + 15221884129 = 340870^2 + 123377^2 .

It is a cyclic number.

It is not a de Polignac number, because 131414241029 - 28 = 131414240773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131414240986 and 131414241004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131414241529) 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, 65707120514 + 65707120515.

It is an arithmetic number, because the mean of its divisors is an integer number (65707120515).

Almost surely, 2131414241029 is an apocalyptic number.

It is an amenable number.

131414241029 is a deficient number, since it is larger than the sum of its proper divisors (1).

131414241029 is an equidigital number, since it uses as much as digits as its factorization.

131414241029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 131414241029 in words is "one hundred thirty-one billion, four hundred fourteen million, two hundred forty-one thousand, twenty-nine".