Search a number
-
+
131755801 is a prime number
BaseRepresentation
bin1111101101001…
…10111100011001
3100011220212222111
413312212330121
5232212141201
621023552321
73156622462
oct766467431
9304825874
10131755801
11684110a1
123815b6a1
13213b1a18
14136d9d69
15b878b51
hex7da6f19

131755801 has 2 divisors, whose sum is σ = 131755802. Its totient is φ = 131755800.

The previous prime is 131755781. The next prime is 131755817. The reversal of 131755801 is 108557131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83814025 + 47941776 = 9155^2 + 6924^2 .

It is a cyclic number.

It is not a de Polignac number, because 131755801 - 211 = 131753753 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (131755501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65877900 + 65877901.

It is an arithmetic number, because the mean of its divisors is an integer number (65877901).

Almost surely, 2131755801 is an apocalyptic number.

It is an amenable number.

131755801 is a deficient number, since it is larger than the sum of its proper divisors (1).

131755801 is an equidigital number, since it uses as much as digits as its factorization.

131755801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 31.

The square root of 131755801 is about 11478.4929759965. The cubic root of 131755801 is about 508.8501597557.

The spelling of 131755801 in words is "one hundred thirty-one million, seven hundred fifty-five thousand, eight hundred one".