Search a number
-
+
131967029 is a prime number
BaseRepresentation
bin1111101110110…
…10100000110101
3100012022121201202
413313122200311
5232240421104
621032302245
73161462345
oct767324065
9305277652
10131967029
1168545867
1238241985
1321456bcc
1413752d25
15b8bb51e
hex7dda835

131967029 has 2 divisors, whose sum is σ = 131967030. Its totient is φ = 131967028.

The previous prime is 131967013. The next prime is 131967067. The reversal of 131967029 is 920769131.

It is a happy number.

It is an a-pointer prime, because the next prime (131967067) can be obtained adding 131967029 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121044004 + 10923025 = 11002^2 + 3305^2 .

It is an emirp because it is prime and its reverse (920769131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131967029 - 24 = 131967013 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131966983 and 131967001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131967079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65983514 + 65983515.

It is an arithmetic number, because the mean of its divisors is an integer number (65983515).

Almost surely, 2131967029 is an apocalyptic number.

It is an amenable number.

131967029 is a deficient number, since it is larger than the sum of its proper divisors (1).

131967029 is an equidigital number, since it uses as much as digits as its factorization.

131967029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20412, while the sum is 38.

The square root of 131967029 is about 11487.6903248651. The cubic root of 131967029 is about 509.1219403617.

The spelling of 131967029 in words is "one hundred thirty-one million, nine hundred sixty-seven thousand, twenty-nine".